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151422472416 = 25313122952579
BaseRepresentation
bin1000110100000101111…
…0111001000011100000
3112110211220002121012010
42031001132321003200
54440103123104131
6153321301032520
713640250531105
oct2150136710340
9473756077163
10151422472416
1159244046796
122541b0b5740
1311382198807
147486672aac
153e13912b46
hex23417b90e0

151422472416 has 96 divisors (see below), whose sum is σ = 402274857600. Its totient is φ = 49869181440.

The previous prime is 151422472337. The next prime is 151422472417. The reversal of 151422472416 is 614274224151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151422472417) 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, 2853615 + ... + 2906193.

It is an arithmetic number, because the mean of its divisors is an integer number (4190363100).

Almost surely, 2151422472416 is an apocalyptic number.

151422472416 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 151422472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201137428800).

151422472416 is an abundant number, since it is smaller than the sum of its proper divisors (250852385184).

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

151422472416 is a wasteful number, since it uses less digits than its factorization.

151422472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52952 (or 52944 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

Adding to 151422472416 its reverse (614274224151), we get a palindrome (765696696567).

The spelling of 151422472416 in words is "one hundred fifty-one billion, four hundred twenty-two million, four hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 229 262 393 458 524 687 786 916 1048 1374 1572 1832 2096 2748 3144 3664 4192 5496 6288 7328 10992 12576 21984 29999 52579 59998 89997 105158 119996 157737 179994 210316 239992 315474 359988 420632 479984 630948 719976 841264 959968 1261896 1439952 1682528 2523792 2879904 5047584 6887849 12040591 13775698 20663547 24081182 27551396 36121773 41327094 48162364 55102792 72243546 82654188 96324728 110205584 144487092 165308376 192649456 220411168 288974184 330616752 385298912 577948368 661233504 1155896736 1577317421 3154634842 4731952263 6309269684 9463904526 12618539368 18927809052 25237078736 37855618104 50474157472 75711236208 151422472416