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5981664672 = 2535769247
BaseRepresentation
bin1011001001000100…
…01111010110100000
3120102212120001100000
411210202033112200
544222301232142
62425315500000
7301142211414
oct54442172640
916385501300
105981664672
11259a548225
1211ab2b7600
13744349269
1440a5d8d44
1525021514c
hex16488f5a0

5981664672 has 72 divisors (see below), whose sum is σ = 17640395136. Its totient is φ = 1993885632.

The previous prime is 5981664649. The next prime is 5981664677. The reversal of 5981664672 is 2764661895.

5981664672 is a `hidden beast` number, since 598 + 1 + 6 + 6 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5981664677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376848 + ... + 392399.

It is an arithmetic number, because the mean of its divisors is an integer number (245005488).

Almost surely, 25981664672 is an apocalyptic number.

It is an amenable number.

5981664672 is an abundant number, since it is smaller than the sum of its proper divisors (11658730464).

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

5981664672 is an equidigital number, since it uses as much as digits as its factorization.

5981664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769272 (or 769252 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5981664672 is about 77341.2223332422. Note that the first 3 decimals coincide. The cubic root of 5981664672 is about 1815.2677318319.

The spelling of 5981664672 in words is "five billion, nine hundred eighty-one million, six hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 769247 1538494 2307741 3076988 4615482 6153976 6923223 9230964 12307952 13846446 18461928 20769669 24615904 27692892 36923856 41539338 55385784 62309007 73847712 83078676 110771568 124618014 166157352 186927021 221543136 249236028 332314704 373854042 498472056 664629408 747708084 996944112 1495416168 1993888224 2990832336 5981664672