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5150696004 = 22323143181593
BaseRepresentation
bin1001100110000000…
…10110001001000100
3111021221221110121200
410303000112021010
541022034233004
62211033142500
7241432123266
oct46300261104
914257843550
105150696004
112203485163
12bb8b5aa30
1364114251c
1436c0cbb36
152022c2239
hex133016244

5150696004 has 144 divisors (see below), whose sum is σ = 13851661824. Its totient is φ = 1611187200.

The previous prime is 5150695987. The next prime is 5150696009. The reversal of 5150696004 is 4006960515.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5150696004.

It is not an unprimeable number, because it can be changed into a prime (5150696009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8685532 + ... + 8686124.

It is an arithmetic number, because the mean of its divisors is an integer number (96192096).

Almost surely, 25150696004 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 5150696004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925830912).

5150696004 is an abundant number, since it is smaller than the sum of its proper divisors (8700965820).

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

5150696004 is a wasteful number, since it uses less digits than its factorization.

5150696004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5150696004 is about 71768.3495978555. The cubic root of 5150696004 is about 1726.9852943458.

The spelling of 5150696004 in words is "five billion, one hundred fifty million, six hundred ninety-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 181 186 258 279 362 372 387 516 543 558 593 724 774 1086 1116 1186 1333 1548 1629 1779 2172 2372 2666 3258 3558 3999 5332 5337 5611 6516 7116 7783 7998 10674 11222 11997 15566 15996 16833 18383 21348 22444 23349 23994 25499 31132 33666 36766 46698 47988 50499 50998 55149 67332 70047 73532 76497 93396 100998 101996 107333 110298 140094 152994 165447 201996 214666 220596 229491 241273 280188 305988 321999 330894 429332 458982 482546 643998 661788 723819 790469 917964 965092 965997 1287996 1447638 1580938 1931994 2171457 2371407 2895276 3161876 3327323 3863988 4342914 4615319 4742814 6654646 7114221 8685828 9230638 9485628 9981969 13309292 13845957 14228442 18461276 19963938 27691914 28456884 29945907 39927876 41537871 55383828 59891814 83075742 119783628 143074889 166151484 286149778 429224667 572299556 858449334 1287674001 1716898668 2575348002 5150696004