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42644076000 = 253533553673
BaseRepresentation
bin100111101101110010…
…001111010111100000
311002001221100111220020
4213231302033113200
51144313340413000
631331310313440
73036521444121
oct475562172740
9132057314806
1042644076000
11170a3518519
1283214b8880
134037ab8386
1420c7804048
151198bc1ba0
hex9edc8f5e0

42644076000 has 96 divisors (see below), whose sum is σ = 139702032288. Its totient is φ = 11371750400.

The previous prime is 42644075987. The next prime is 42644076011. The reversal of 42644076000 is 67044624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764837 + ... + 1788836.

It is an arithmetic number, because the mean of its divisors is an integer number (1455229503).

Almost surely, 242644076000 is an apocalyptic number.

42644076000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42644076000 is an abundant number, since it is smaller than the sum of its proper divisors (97057956288).

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

42644076000 is a wasteful number, since it uses less digits than its factorization.

42644076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553701 (or 3553683 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 42644076000 in words is "forty-two billion, six hundred forty-four million, seventy-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3553673 7107346 10661019 14214692 17768365 21322038 28429384 35536730 42644076 53305095 56858768 71073460 85288152 88841825 106610190 113717536 142146920 170576304 177683650 213220380 266525475 284293840 341152608 355367300 426440760 444209125 533050950 568587680 710734600 852881520 888418250 1066101900 1332627375 1421469200 1705763040 1776836500 2132203800 2665254750 2842938400 3553673000 4264407600 5330509500 7107346000 8528815200 10661019000 14214692000 21322038000 42644076000