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133971227352 = 233219937924671
BaseRepresentation
bin111110011000101001…
…1101011001011011000
3110210210200111111102100
41330301103223023120
54143333113233402
6141313500203400
712451634433444
oct1746123531330
9423720444370
10133971227352
11518a92a1006
1221b6a839560
13c830860ac1
1466aca8d824
15374180371c
hex1f314eb2d8

133971227352 has 96 divisors (see below), whose sum is σ = 365639040000. Its totient is φ = 44313635520.

The previous prime is 133971227339. The next prime is 133971227353. The reversal of 133971227352 is 253722179331.

133971227352 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 71 + 227 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133971227298 and 133971227307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133971227353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5417977 + ... + 5442647.

It is an arithmetic number, because the mean of its divisors is an integer number (3808740000).

Almost surely, 2133971227352 is an apocalyptic number.

133971227352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133971227352 is an abundant number, since it is smaller than the sum of its proper divisors (231667812648).

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

133971227352 is a wasteful number, since it uses less digits than its factorization.

133971227352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25261 (or 25254 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 133971227352 in words is "one hundred thirty-three billion, nine hundred seventy-one million, two hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 379 398 597 758 796 1137 1194 1516 1592 1791 2274 2388 3032 3411 3582 4548 4776 6822 7164 9096 13644 14328 24671 27288 49342 74013 75421 98684 148026 150842 197368 222039 226263 296052 301684 444078 452526 592104 603368 678789 888156 905052 1357578 1776312 1810104 2715156 4909529 5430312 9350309 9819058 14728587 18700618 19638116 28050927 29457174 37401236 39276232 44185761 56101854 58914348 74802472 84152781 88371522 112203708 117828696 168305562 176743044 224407416 336611124 353486088 673222248 1860711491 3721422982 5582134473 7442845964 11164268946 14885691928 16746403419 22328537892 33492806838 44657075784 66985613676 133971227352