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31045450516432 = 24111673133374617
BaseRepresentation
bin1110000111100010101010…
…00011001100011111010000
311001220220201211021122101121
413003301111003030133100
513032122040313011212
6150010025540012024
76352650130223422
oct703612503143720
9131826654248347
1031045450516432
11998a335510720
123594996691014
13144275ba669a1
14794871c16812
1538c86b7bed07
hex1c3c550cc7d0

31045450516432 has 80 divisors (see below), whose sum is σ = 66222639729792. Its totient is φ = 13982248949760.

The previous prime is 31045450516429. The next prime is 31045450516433. The reversal of 31045450516432 is 23461505454013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31045450516433) 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, 7512388 + ... + 10887004.

Almost surely, 231045450516432 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 31045450516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111319864896).

31045450516432 is an abundant number, since it is smaller than the sum of its proper divisors (35177189213360).

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

31045450516432 is a wasteful number, since it uses less digits than its factorization.

31045450516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375116 (or 3375110 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 31045450516432 in words is "thirty-one trillion, forty-five billion, four hundred fifty million, five hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 167 176 313 334 626 668 1252 1336 1837 2504 2672 3443 3674 5008 6886 7348 13772 14696 27544 29392 52271 55088 104542 209084 418168 574981 836336 1149962 2299924 3374617 4599848 6749234 9199696 13498468 26996936 37120787 53993872 74241574 148483148 296966296 563561039 593932592 1056255121 1127122078 2112510242 2254244156 4225020484 4508488312 6199171429 8450040968 9016976624 11618806331 12398342858 16900081936 23237612662 24796685716 46475225324 49593371432 92950450648 99186742864 176394605207 185900901296 352789210414 705578420828 1411156841656 1940340657277 2822313683312 3880681314554 7761362629108 15522725258216 31045450516432