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5851868672 = 29131946273
BaseRepresentation
bin1010111001100110…
…00110111000000000
3120002211022201200202
411130303012320000
543441034244142
62404401504332
7265005030416
oct53463067000
916084281622
105851868672
112533255601
1211739420a8
137234a25b0
143d728d2b6
15243b27032
hex15ccc6e00

5851868672 has 80 divisors (see below), whose sum is σ = 13254724560. Its totient is φ = 2558656512.

The previous prime is 5851868657. The next prime is 5851868717. The reversal of 5851868672 is 2768681585.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103328 + ... + 149600.

It is an arithmetic number, because the mean of its divisors is an integer number (165684057).

Almost surely, 25851868672 is an apocalyptic number.

5851868672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5851868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627362280).

5851868672 is an abundant number, since it is smaller than the sum of its proper divisors (7402855888).

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

5851868672 is a wasteful number, since it uses less digits than its factorization.

5851868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46323 (or 46307 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 56.

The square root of 5851868672 is about 76497.5076195297. The cubic root of 5851868672 is about 1802.0417851338.

The spelling of 5851868672 in words is "five billion, eight hundred fifty-one million, eight hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 512 608 832 988 1216 1664 1976 2432 3328 3952 4864 6656 7904 9728 15808 31616 46273 63232 92546 126464 185092 370184 601549 740368 879187 1203098 1480736 1758374 2406196 2961472 3516748 4812392 5922944 7033496 9624784 11429431 11845888 14066992 19249568 22858862 23691776 28133984 38499136 45717724 56267968 76998272 91435448 112535936 153996544 182870896 225071872 307993088 365741792 450143744 731483584 1462967168 2925934336 5851868672