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11532332004156 = 223219349373129517
BaseRepresentation
bin1010011111010001010010…
…0011010111001100111100
31111211110222001020101020100
42213310110203113030330
53002421203443113111
640305514041521100
72300116636436535
oct247642443271474
944743861211210
1011532332004156
11374691a8506a7
1213630627a3190
13658656b06322
142bc24c80368c
1514eeb0a0a756
hexa7d148d733c

11532332004156 has 144 divisors (see below), whose sum is σ = 30856109284000. Its totient is φ = 3621590631936.

The previous prime is 11532332004143. The next prime is 11532332004173. The reversal of 11532332004156 is 65140023323511.

11532332004156 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 2 + 33 + 200 + 415 + 6 = 666.

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 11532332004156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88976310 + ... + 89105826.

Almost surely, 211532332004156 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 11532332004156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428054642000).

11532332004156 is an abundant number, since it is smaller than the sum of its proper divisors (19323777279844).

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

11532332004156 is a wasteful number, since it uses less digits than its factorization.

11532332004156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130268 (or 130263 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 11532332004156 its reverse (65140023323511), we get a palindrome (76672355327667).

The spelling of 11532332004156 in words is "eleven trillion, five hundred thirty-two billion, three hundred thirty-two million, four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 349 373 684 698 746 1047 1119 1396 1492 2094 2238 3141 3357 4188 4476 6282 6631 6714 7087 12564 13262 13428 14174 19893 21261 26524 28348 39786 42522 59679 63783 79572 85044 119358 127566 129517 130177 238716 255132 259034 260354 388551 390531 518068 520708 777102 781062 1165653 1171593 1554204 1562124 2331306 2343186 2460823 2473363 4662612 4686372 4921646 4946726 7382469 7420089 9843292 9893452 14764938 14840178 22147407 22260267 29529876 29680356 44294814 44520534 45201433 48309841 88589628 89041068 90402866 96619682 135604299 144929523 180805732 193239364 271208598 289859046 406812897 434788569 542417196 579718092 813625794 858827227 869577138 917886979 1627251588 1717654454 1739154276 1835773958 2576481681 2753660937 3435308908 3671547916 5152963362 5507321874 7729445043 8260982811 10305926724 11014643748 15458890086 16521965622 16860134509 30917780172 33043931244 33720269018 50580403527 67440538036 101160807054 151741210581 202321614108 303482421162 320342555671 606964842324 640685111342 961027667013 1281370222684 1922055334026 2883083001039 3844110668052 5766166002078 11532332004156