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2152342432512 = 28324991872097
BaseRepresentation
bin11111010100100001100…
…110110010101100000000
321121202120110000021011100
4133110201212302230000
5240230444130320022
64324434504014400
7311334023546436
oct37244146625400
97552513007140
102152342432512
1175a892212178
122a917b161400
13127c711c476c
1476261396d56
153aec25611ac
hex1f5219b2b00

2152342432512 has 108 divisors (see below), whose sum is σ = 6218173507000. Its totient is φ = 716009324544.

The previous prime is 2152342432481. The next prime is 2152342432517.

2152342432512 is a `hidden beast` number, since 2 + 1 + 523 + 42 + 43 + 2 + 51 + 2 = 666.

2152342432512 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2152342432517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213648 + ... + 2085744.

Almost surely, 22152342432512 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 2152342432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109086753500).

2152342432512 is an abundant number, since it is smaller than the sum of its proper divisors (4065831074488).

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

2152342432512 is a wasteful number, since it uses less digits than its factorization.

2152342432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872618 (or 1872601 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2152342432512 in words is "two trillion, one hundred fifty-two billion, three hundred forty-two million, four hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 499 576 768 998 1152 1497 1996 2304 2994 3992 4491 5988 7984 8982 11976 15968 17964 23952 31936 35928 47904 63872 71856 95808 127744 143712 191616 287424 383232 574848 1149696 1872097 3744194 5616291 7488388 11232582 14976776 16848873 22465164 29953552 33697746 44930328 59907104 67395492 89860656 119814208 134790984 179721312 239628416 269581968 359442624 479256832 539163936 718885248 934176403 1078327872 1437770496 1868352806 2156655744 2802529209 3736705612 4313311488 5605058418 7473411224 8407587627 11210116836 14946822448 16815175254 22420233672 29893644896 33630350508 44840467344 59787289792 67260701016 89680934688 119574579584 134521402032 179361869376 239149159168 269042804064 358723738752 538085608128 717447477504 1076171216256 2152342432512