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151413361704 = 233211631302977
BaseRepresentation
bin1000110100000011110…
…0001000110000101000
3112110211020221201122100
42031000330020300220
54440043310033304
6153320333453400
713640110224213
oct2150074106050
9473736851570
10151413361704
1159239993780
1225418041260
1311380328967
14748538077a
153e12c13439
hex2340f08c28

151413361704 has 96 divisors (see below), whose sum is σ = 448068104640. Its totient is φ = 45809971200.

The previous prime is 151413361669. The next prime is 151413361709. The reversal of 151413361704 is 407163314151.

151413361704 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 1 + 33 + 617 + 0 + 4 = 666.

It is a super-2 number, since 2×1514133617042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151413361709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348264 + ... + 651240.

It is an arithmetic number, because the mean of its divisors is an integer number (4667376090).

Almost surely, 2151413361704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151413361704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224034052320).

151413361704 is an abundant number, since it is smaller than the sum of its proper divisors (296654742936).

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

151413361704 is a wasteful number, since it uses less digits than its factorization.

151413361704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303631 (or 303624 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 151413361704 its reverse (407163314151), we get a palindrome (558576675855).

The spelling of 151413361704 in words is "one hundred fifty-one billion, four hundred thirteen million, three hundred sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 631 792 1262 1893 2524 3786 5048 5679 6941 7572 11358 13882 15144 20823 22716 27764 41646 45432 55528 62469 83292 124938 166584 249876 302977 499752 605954 908931 1211908 1817862 2423816 2726793 3332747 3635724 5453586 6665494 7271448 9998241 10907172 13330988 19996482 21814344 26661976 29994723 39992964 59989446 79985928 119978892 191178487 239957784 382356974 573535461 764713948 1147070922 1529427896 1720606383 2102963357 2294141844 3441212766 4205926714 4588283688 6308890071 6882425532 8411853428 12617780142 13764851064 16823706856 18926670213 25235560284 37853340426 50471120568 75706680852 151413361704