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145656316992 = 2633779259537
BaseRepresentation
bin1000011110100111001…
…0110000010001000000
3111220222001001112222010
42013221302300101000
54341301004120432
6150525200212520
713344333160254
oct2075162602100
9456861045863
10145656316992
115685521488a
122429000a140
13109736a6c24
14709a936264
153bc75bc3cc
hex21e9cb0440

145656316992 has 112 divisors (see below), whose sum is σ = 400809724160. Its totient is φ = 46641733632.

The previous prime is 145656316969. The next prime is 145656316997. The reversal of 145656316992 is 299613656541.

It is not an unprimeable number, because it can be changed into a prime (145656316997) 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, 431448 + ... + 690984.

Almost surely, 2145656316992 is an apocalyptic number.

145656316992 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 145656316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200404862080).

145656316992 is an abundant number, since it is smaller than the sum of its proper divisors (255153407168).

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

145656316992 is a wasteful number, since it uses less digits than its factorization.

145656316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259668 (or 259658 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 57.

The spelling of 145656316992 in words is "one hundred forty-five billion, six hundred fifty-six million, three hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 79 96 111 148 158 192 222 237 296 316 444 474 592 632 888 948 1184 1264 1776 1896 2368 2528 2923 3552 3792 5056 5846 7104 7584 8769 11692 15168 17538 23384 35076 46768 70152 93536 140304 187072 259537 280608 519074 561216 778611 1038148 1557222 2076296 3114444 4152592 6228888 8305184 9602869 12457776 16610368 19205738 20503423 24915552 28808607 38411476 41006846 49831104 57617214 61510269 76822952 82013692 115234428 123020538 153645904 164027384 230468856 246041076 307291808 328054768 460937712 492082152 614583616 656109536 758626651 921875424 984164304 1312219072 1517253302 1843750848 1968328608 2275879953 3034506604 3936657216 4551759906 6069013208 9103519812 12138026416 18207039624 24276052832 36414079248 48552105664 72828158496 145656316992