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42978585552 = 24371632273457
BaseRepresentation
bin101000000001101110…
…010010101111010000
311002221020210100201220
4220001232102233100
51201010004214202
631424420125040
73051022643460
oct500156225720
9132836710656
1042978585552
11172553224a1
1283b5536780
13408c1a9916
142119ddbba0
1511b824aabc
hexa01b92bd0

42978585552 has 160 divisors (see below), whose sum is σ = 128267123712. Its totient is φ = 12146982912.

The previous prime is 42978585521. The next prime is 42978585583. The reversal of 42978585552 is 25558587924.

It is an interprime number because it is at equal distance from previous prime (42978585521) and next prime (42978585583).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12430608 + ... + 12434064.

Almost surely, 242978585552 is an apocalyptic number.

42978585552 is a gapful number since it is divisible by the number (42) 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 42978585552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64133561856).

42978585552 is an abundant number, since it is smaller than the sum of its proper divisors (85288538160).

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

42978585552 is a wasteful number, since it uses less digits than its factorization.

42978585552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3859 counting only the distinct ones).

The product of its digits is 40320000, while the sum is 60.

The spelling of 42978585552 in words is "forty-two billion, nine hundred seventy-eight million, five hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 227 326 336 454 489 652 681 908 978 1141 1304 1362 1589 1816 1956 2282 2608 2724 3178 3423 3457 3632 3912 4564 4767 5448 6356 6846 6914 7824 9128 9534 10371 10896 12712 13692 13828 18256 19068 20742 24199 25424 27384 27656 37001 38136 41484 48398 54768 55312 72597 74002 76272 82968 96796 111003 145194 148004 165936 193592 222006 259007 290388 296008 387184 444012 518014 563491 580776 592016 777021 784739 888024 1036028 1126982 1161552 1554042 1569478 1690473 1776048 2072056 2253964 2354217 3108084 3138956 3380946 3944437 4144112 4507928 4708434 5493173 6216168 6277912 6761892 7888874 9015856 9416868 10986346 11833311 12432336 12555824 13523784 15777748 16479519 18833736 21972692 23666622 27047568 31555496 32959038 37667472 43945384 47333244 63110992 65918076 87890768 94666488 127912457 131836152 189332976 255824914 263672304 383737371 511649828 767474742 895387199 1023299656 1534949484 1790774398 2046599312 2686161597 3069898968 3581548796 5372323194 6139797936 7163097592 10744646388 14326195184 21489292776 42978585552