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53557067776 = 2221132
BaseRepresentation
bin110001111000010000…
…000000000000000000
312010020111001221021211
4301320100000000000
51334141102132101
640334225455504
73604123364512
oct617020000000
9163214057254
1053557067776
1120793628793
12a4681a1594
13508699a764
142840d05bb2
1515d6cc5c51
hexc78400000

53557067776 has 69 divisors (see below), whose sum is σ = 108070423981. Its totient is φ = 26541555712.

The previous prime is 53557067771. The next prime is 53557067797. The reversal of 53557067776 is 67776075535.

The square root of 53557067776 is 231424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 943718400 + 52613349376 = 30720^2 + 229376^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53557067776.

It is not an unprimeable number, because it can be changed into a prime (53557067771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 473956296 + ... + 473956408.

Almost surely, 253557067776 is an apocalyptic number.

53557067776 is the 231424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53557067776

53557067776 is an abundant number, since it is smaller than the sum of its proper divisors (54513356205).

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

53557067776 is an frugal number, since it uses more digits than its factorization.

53557067776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32413500, while the sum is 58.

The spelling of 53557067776 in words is "fifty-three billion, five hundred fifty-seven million, sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 2048 3616 4096 7232 8192 12769 14464 16384 25538 28928 32768 51076 57856 65536 102152 115712 131072 204304 231424 262144 408608 462848 524288 817216 925696 1048576 1634432 1851392 2097152 3268864 3702784 4194304 6537728 7405568 13075456 14811136 26150912 29622272 52301824 59244544 104603648 118489088 209207296 236978176 418414592 473956352 836829184 1673658368 3347316736 6694633472 13389266944 26778533888 53557067776