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2152356532512 = 253371032158711
BaseRepresentation
bin11111010100100010011…
…100100101000100100000
321121202121102112121201120
4133110202130211010200
5240231011233020022
64324440130132240
7311334254443344
oct37244234450440
97552542477646
102152356532512
1175a89a17276a
122a9183a21080
13127c740c0564
14762631c7624
153aec38e8d5c
hex1f522725120

2152356532512 has 96 divisors (see below), whose sum is σ = 5803297928064. Its totient is φ = 697982054400.

The previous prime is 2152356532511. The next prime is 2152356532523.

2152356532512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21523565325122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2152356532511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36630837 + ... + 36689547.

It is an arithmetic number, because the mean of its divisors is an integer number (60451020084).

Almost surely, 22152356532512 is an apocalyptic number.

It is an amenable number.

2152356532512 is an abundant number, since it is smaller than the sum of its proper divisors (3650941395552).

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

2152356532512 is a wasteful number, since it uses less digits than its factorization.

2152356532512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69082 (or 69074 counting only the distinct ones).

The product of its digits is 540000, while the sum is 42.

The spelling of 2152356532512 in words is "two trillion, one hundred fifty-two billion, three hundred fifty-six million, five hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 10321 20642 30963 41284 58711 61926 82568 117422 123852 165136 176133 234844 247704 330272 352266 381877 469688 495408 704532 763754 939376 990816 1145631 1409064 1527508 1878752 2172307 2291262 2818128 3055016 4344614 4582524 5636256 6110032 6516921 8689228 9165048 12220064 13033842 17378456 18330096 26067684 34756912 36660192 52135368 69513824 104270736 208541472 605956231 1211912462 1817868693 2423824924 3635737386 4847649848 7271474772 9695299696 14542949544 19390599392 22420380547 29085899088 44840761094 58171798176 67261141641 89681522188 134522283282 179363044376 269044566564 358726088752 538089133128 717452177504 1076178266256 2152356532512