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12088784932032 = 2631916971952747
BaseRepresentation
bin1010111111101010001110…
…1110110100110011000000
31120210200021012120222000110
42233322203232310303000
53041030312420311112
641413302223151320
72355246234332604
oct257724356646300
946720235528013
1012088784932032
113940908a38396
121432a79745540
13698c76873123
142db159387504
1515e6cc78713c
hexafea3bb4cc0

12088784932032 has 112 divisors (see below), whose sum is σ = 33688183616640. Its totient is φ = 3815259512832.

The previous prime is 12088784931991. The next prime is 12088784932039. The reversal of 12088784932032 is 23023948788021.

It is a super-2 number, since 2×120887849320322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (12088784932039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214283 + ... + 7167029.

It is an arithmetic number, because the mean of its divisors is an integer number (300787353720).

Almost surely, 212088784932032 is an apocalyptic number.

12088784932032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12088784932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844091808320).

12088784932032 is an abundant number, since it is smaller than the sum of its proper divisors (21599398684608).

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

12088784932032 is a wasteful number, since it uses less digits than its factorization.

12088784932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954478 (or 1954468 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 12088784932032 in words is "twelve trillion, eighty-eight billion, seven hundred eighty-four million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1697 1824 3394 3648 5091 6788 10182 13576 20364 27152 32243 40728 54304 64486 81456 96729 108608 128972 162912 193458 257944 325824 386916 515888 773832 1031776 1547664 1952747 2063552 3095328 3905494 5858241 6190656 7810988 11716482 15621976 23432964 31243952 37102193 46865928 62487904 74204386 93731856 111306579 124975808 148408772 187463712 222613158 296817544 374927424 445226316 593635088 890452632 1187270176 1780905264 2374540352 3313811659 3561810528 6627623318 7123621056 9941434977 13255246636 19882869954 26510493272 39765739908 53020986544 62962421521 79531479816 106041973088 125924843042 159062959632 188887264563 212083946176 251849686084 318125919264 377774529126 503699372168 636251838528 755549058252 1007398744336 1511098116504 2014797488672 3022196233008 4029594977344 6044392466016 12088784932032