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1352130233616 = 243237253778197
BaseRepresentation
bin10011101011010001001…
…111100000010100010000
311210021002021120201000100
4103223101033200110100
5134123130314433431
62513054323252400
7166455022231641
oct23532117402420
94707067521010
101352130233616
114814872a3298
1219a07581a100
139a6752ac416
144962cb956c8
152528a8054e6
hex13ad13e0510

1352130233616 has 60 divisors (see below), whose sum is σ = 3886359324172. Its totient is φ = 438528722688.

The previous prime is 1352130233593. The next prime is 1352130233617. The reversal of 1352130233616 is 6163320312531.

1352130233616 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 3 + 0 + 2 + 33 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 891143552016 + 460986681600 = 944004^2 + 678960^2 .

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 (1352130233617) 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 11 ways as a sum of consecutive naturals, for example, 126883771 + ... + 126894426.

Almost surely, 21352130233616 is an apocalyptic number.

1352130233616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1352130233616 is an abundant number, since it is smaller than the sum of its proper divisors (2534229090556).

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

1352130233616 is a wasteful number, since it uses less digits than its factorization.

1352130233616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253778248 (or 253778239 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1352130233616 in words is "one trillion, three hundred fifty-two billion, one hundred thirty million, two hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 253778197 507556394 761334591 1015112788 1522669182 2030225576 2284003773 3045338364 4060451152 4568007546 6090676728 9136015092 9389793289 12181353456 18272030184 18779586578 28169379867 36544060368 37559173156 56338759734 75118346312 84508139601 112677519468 150236692624 169016279202 225355038936 338032558404 450710077872 676065116808 1352130233616