Search a number
-
+
51504215004 = 223211881147629
BaseRepresentation
bin101111111101111000…
…111111001111011100
311220221102021012200200
4233331320333033130
51320440034340004
635354414023500
73502215414144
oct577570771734
9156842235620
1051504215004
111a92a872050
129b947a7b90
134b1a5a9688
1426c840d924
151516973239
hexbfde3f3dc

51504215004 has 72 divisors (see below), whose sum is σ = 142188948720. Its totient is φ = 15589516800.

The previous prime is 51504214981. The next prime is 51504215011. The reversal of 51504215004 is 40051240515.

51504215004 is a `hidden beast` number, since 5 + 1 + 504 + 2 + 150 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275062 + ... + 422690.

It is an arithmetic number, because the mean of its divisors is an integer number (1974846510).

Almost surely, 251504215004 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 51504215004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71094474360).

51504215004 is an abundant number, since it is smaller than the sum of its proper divisors (90684733716).

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

51504215004 is a wasteful number, since it uses less digits than its factorization.

51504215004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148531 (or 148526 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 51504215004 its reverse (40051240515), we get a palindrome (91555455519).

The spelling of 51504215004 in words is "fifty-one billion, five hundred four million, two hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 881 1762 2643 3524 5286 7929 9691 10572 15858 19382 29073 31716 38764 58146 87219 116292 147629 174438 295258 348876 442887 590516 885774 1328661 1623919 1771548 2657322 3247838 4871757 5314644 6495676 9743514 14615271 19487028 29230542 58461084 130061149 260122298 390183447 520244596 780366894 1170550341 1430672639 1560733788 2341100682 2861345278 4292017917 4682201364 5722690556 8584035834 12876053751 17168071668 25752107502 51504215004