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7053204672 = 2632117110457
BaseRepresentation
bin1101001000110011…
…10101110011000000
3200012112211220212200
412210121311303000
5103421110022142
63123514353200
7336533151633
oct64431656300
920175756780
107053204672
112a9a394078
12144a12b800
13885343bb7
144aca49c1a
152b432864c
hex1a4675cc0

7053204672 has 84 divisors (see below), whose sum is σ = 20235937176. Its totient is φ = 2348835840.

The previous prime is 7053204659. The next prime is 7053204701. The reversal of 7053204672 is 2764023507.

It is a happy number.

It is a super-2 number, since 2×70532046722 = 99495392290245255168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669268 + ... + 679724.

It is an arithmetic number, because the mean of its divisors is an integer number (240904014).

Almost surely, 27053204672 is an apocalyptic number.

7053204672 is a gapful number since it is divisible by the number (72) 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 7053204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117968588).

7053204672 is an abundant number, since it is smaller than the sum of its proper divisors (13182732504).

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

7053204672 is a wasteful number, since it uses less digits than its factorization.

7053204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7053204672 is about 83983.3594946046. The cubic root of 7053204672 is about 1917.7654733477.

The spelling of 7053204672 in words is "seven billion, fifty-three million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1171 2342 3513 4684 7026 9368 10457 10539 14052 18736 20914 21078 28104 31371 37472 41828 42156 56208 62742 74944 83656 84312 94113 112416 125484 167312 168624 188226 224832 250968 334624 337248 376452 501936 669248 674496 752904 1003872 1505808 2007744 3011616 6023232 12245147 24490294 36735441 48980588 73470882 97961176 110206323 146941764 195922352 220412646 293883528 391844704 440825292 587767056 783689408 881650584 1175534112 1763301168 2351068224 3526602336 7053204672