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57444135651 = 32721722733371
BaseRepresentation
bin110101011111111011…
…111111001011100011
312111021101021102222200
4311133323333023203
51420121144320101
642220043104243
74102343045100
oct653773771343
9174241242880
1057444135651
11223a8798381
12b171b12083
13555609b316
142acd25daa7
15176318e986
hexd5feff2e3

57444135651 has 72 divisors (see below), whose sum is σ = 102274823664. Its totient is φ = 30871572480.

The previous prime is 57444135647. The next prime is 57444135673. The reversal of 57444135651 is 15653144475.

It is a happy number.

57444135651 is a `hidden beast` number, since 5 + 7 + 44 + 41 + 3 + 565 + 1 = 666.

It is not a de Polignac number, because 57444135651 - 22 = 57444135647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57444135597 and 57444135606.

It is not an unprimeable number, because it can be changed into a prime (57444135631) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17038996 + ... + 17042366.

It is an arithmetic number, because the mean of its divisors is an integer number (1420483662).

Almost surely, 257444135651 is an apocalyptic number.

57444135651 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

57444135651 is a deficient number, since it is larger than the sum of its proper divisors (44830688013).

57444135651 is a wasteful number, since it uses less digits than its factorization.

57444135651 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5671 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 57444135651 in words is "fifty-seven billion, four hundred forty-four million, one hundred thirty-five thousand, six hundred fifty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2273 2499 3371 6819 7497 10113 15911 20457 23597 30339 38641 47733 57307 70791 111377 115923 143199 165179 171921 212373 270487 334131 347769 401149 495537 515763 811461 1002393 1203447 1486611 1893409 2434383 2808043 3610341 5680227 7662283 8424129 17040681 22986849 25272387 53635981 68960547 130258811 160907943 375451867 390776433 482723829 911811677 1126355601 1172329299 2735435031 3379066803 6382681739 8206305093 19148045217 57444135651