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42531552544 = 25131718233299
BaseRepresentation
bin100111100111000100…
…111111110100100000
311001210002121201201211
4213213010333310200
51144101034140134
631312210435504
73033654142315
oct474704776440
9131702551654
1042531552544
1117045a52a28
1282ab892b94
13401a6ab550
1420b68b2d0c
15118dd96764
hex9e713fd20

42531552544 has 96 divisors (see below), whose sum is σ = 95560819200. Its totient is φ = 18459512832.

The previous prime is 42531552541. The next prime is 42531552571. The reversal of 42531552544 is 44525513524.

It is a junction number, because it is equal to n+sod(n) for n = 42531552497 and 42531552506.

It is not an unprimeable number, because it can be changed into a prime (42531552541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12890607 + ... + 12893905.

It is an arithmetic number, because the mean of its divisors is an integer number (995425200).

Almost surely, 242531552544 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 42531552544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47780409600).

42531552544 is an abundant number, since it is smaller than the sum of its proper divisors (53029266656).

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

42531552544 is a wasteful number, since it uses less digits than its factorization.

42531552544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5154 counting only the distinct ones).

The product of its digits is 480000, while the sum is 40.

The spelling of 42531552544 in words is "forty-two billion, five hundred thirty-one million, five hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 1823 3299 3536 3646 6598 7072 7292 13196 14584 23699 26392 29168 30991 42887 47398 52784 56083 58336 61982 85774 94796 105568 112166 123964 171548 189592 224332 247928 343096 379184 402883 448664 495856 686192 729079 758368 805766 897328 991712 1372384 1458158 1611532 1794656 2916316 3223064 5832632 6014077 6446128 11665264 12028154 12892256 23330528 24056308 48112616 78183001 96225232 102239309 156366002 192450464 204478618 312732004 408957236 625464008 817914472 1250928016 1329111017 1635828944 2501856032 2658222034 3271657888 5316444068 10632888136 21265776272 42531552544