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157465138752 = 2633152359833
BaseRepresentation
bin1001001010100110100…
…1110101011001000000
3120001110000102212002000
42102221221311121000
510034442033420002
6200201040224000
714243063411115
oct2225151653100
9501400385060
10157465138752
1160864a69409
122662690b000
1311b0605291c
14789adca90c
15416917761c
hex24a9a75640

157465138752 has 112 divisors (see below), whose sum is σ = 463230041280. Its totient is φ = 52453039104.

The previous prime is 157465138751. The next prime is 157465138771. The reversal of 157465138752 is 257831564751.

157465138752 is a `hidden beast` number, since 1 + 5 + 7 + 46 + 513 + 87 + 5 + 2 = 666.

It is a super-2 number, since 2×1574651387522 (a number of 23 digits) contains 22 as substring.

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 (157465138751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601828 + ... + 2661660.

Almost surely, 2157465138752 is an apocalyptic number.

157465138752 is a gapful number since it is divisible by the number (12) 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 157465138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231615020640).

157465138752 is an abundant number, since it is smaller than the sum of its proper divisors (305764902528).

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

157465138752 is a wasteful number, since it uses less digits than its factorization.

157465138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61377 (or 61361 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 157465138752 in words is "one hundred fifty-seven billion, four hundred sixty-five million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1523 1728 3046 4569 6092 9138 12184 13707 18276 24368 27414 36552 41121 48736 54828 59833 73104 82242 97472 109656 119666 146208 164484 179499 219312 239332 292416 328968 358998 438624 478664 538497 657936 717996 877248 957328 1076994 1315872 1435992 1615491 1914656 2153988 2631744 2871984 3230982 3829312 4307976 5743968 6461964 8615952 11487936 12923928 17231904 25847856 34463808 51695712 91125659 103391424 182251318 273376977 364502636 546753954 729005272 820130931 1093507908 1458010544 1640261862 2187015816 2460392793 2916021088 3280523724 4374031632 4920785586 5832042176 6561047448 8748063264 9841571172 13122094896 17496126528 19683142344 26244189792 39366284688 52488379584 78732569376 157465138752