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30156771264 = 2632337184567
BaseRepresentation
bin11100000101011110…
…111100111111000000
32212211200021201010020
4130011132330333000
5443230113140024
621504232133440
72115212216634
oct340536747700
985750251106
1030156771264
1111875790664
125a17537280
132ac79c5069
1416611b6dc4
15bb7794979
hex7057bcfc0

30156771264 has 112 divisors (see below), whose sum is σ = 85509616128. Its totient is φ = 9355281408.

The previous prime is 30156771217. The next prime is 30156771283. The reversal of 30156771264 is 46217765103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71109 + ... + 255675.

Almost surely, 230156771264 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 30156771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42754808064).

30156771264 is an abundant number, since it is smaller than the sum of its proper divisors (55352844864).

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

30156771264 is a wasteful number, since it uses less digits than its factorization.

30156771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184642 (or 184632 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 30156771264 in words is "thirty billion, one hundred fifty-six million, seven hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 10212 13616 20424 27232 40848 54464 81696 163392 184567 369134 553701 738268 1107402 1476536 2214804 2953072 4245041 4429608 5906144 6828979 8490082 8859216 11812288 12735123 13657958 16980164 17718432 20486937 25470246 27315916 33960328 35436864 40973874 50940492 54631832 67920656 81947748 101880984 109263664 135841312 157066517 163895496 203761968 218527328 271682624 314133034 327790992 407523936 437054656 471199551 628266068 655581984 815047872 942399102 1256532136 1311163968 1884798204 2513064272 3769596408 5026128544 7539192816 10052257088 15078385632 30156771264