Search a number
-
+
158475907456 = 2729611993517
BaseRepresentation
bin1001001110010111100…
…1100111000110000000
3120011001110101020001221
42103211321213012000
510044024313014311
6200445224404424
714310115662466
oct2234571470600
9504043336057
10158475907456
1161233577949
1226869316714
1311c37590509
14795533c836
1541c7c84671
hex24e5e67180

158475907456 has 128 divisors (see below), whose sum is σ = 333717480000. Its totient is φ = 74851983360.

The previous prime is 158475907441. The next prime is 158475907483. The reversal of 158475907456 is 654709574851.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1584759074562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 158475907394 and 158475907403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45058210 + ... + 45061726.

Almost surely, 2158475907456 is an apocalyptic number.

158475907456 is a gapful number since it is divisible by the number (16) 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 158475907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166858740000).

158475907456 is an abundant number, since it is smaller than the sum of its proper divisors (175241572544).

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

158475907456 is a wasteful number, since it uses less digits than its factorization.

158475907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 61.

The spelling of 158475907456 in words is "one hundred fifty-eight billion, four hundred seventy-five million, nine hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 199 232 244 398 464 488 796 928 976 1592 1769 1856 1952 3184 3517 3538 3712 3904 5771 6368 7034 7076 7808 11542 12139 12736 14068 14152 23084 24278 25472 28136 28304 46168 48556 56272 56608 92336 97112 101993 112544 113216 184672 194224 203986 214537 225088 226432 352031 369344 388448 407972 429074 450176 699883 704062 738688 776896 815944 858148 1399766 1408124 1553792 1631888 1716296 2799532 2816248 3263776 3432592 5599064 5632496 6221573 6527552 6865184 11198128 11264992 12443146 13055104 13730368 20296607 22396256 22529984 24886292 27460736 40593214 42692863 44792512 45059968 49772584 81186428 85385726 89585024 99545168 162372856 170771452 199090336 324745712 341542904 398180672 649491424 683085808 796361344 1238093027 1298982848 1366171616 2476186054 2597965696 2732343232 4952372108 5464686464 9904744216 19809488432 39618976864 79237953728 158475907456