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6416973680 = 2451317362951
BaseRepresentation
bin1011111100111101…
…10011111101110000
3121120012200001000212
411332132303331300
5101120221124210
62540430003252
7315006243035
oct57636637560
917505601025
106416973680
1127a323a337
1212b1046528
137b35a1160
1444c35138c
15278550805
hex17e7b3f70

6416973680 has 80 divisors (see below), whose sum is σ = 17012286144. Its totient is φ = 2229964800.

The previous prime is 6416973653. The next prime is 6416973767. The reversal of 6416973680 is 863796146.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163796 + ... + 199155.

Almost surely, 26416973680 is an apocalyptic number.

It is an amenable number.

6416973680 is an abundant number, since it is smaller than the sum of its proper divisors (10595312464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6416973680 is a wasteful number, since it uses less digits than its factorization.

6416973680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362994 (or 362988 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 6416973680 is about 80106.0152547860. The cubic root of 6416973680 is about 1858.2754354572.

The spelling of 6416973680 in words is "six billion, four hundred sixteen million, nine hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 362951 725902 1451804 1814755 2903608 3629510 4718363 5807216 6170167 7259020 9436726 12340334 14518040 18873452 23591815 24680668 29036080 30850835 37746904 47183630 49361336 61701670 75493808 80212171 94367260 98722672 123403340 160424342 188734520 246806680 320848684 377469040 401060855 493613360 641697368 802121710 1283394736 1604243420 3208486840 6416973680