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42655641512 = 2311372523677
BaseRepresentation
bin100111101110011110…
…010110111110101000
311002002202010002210112
4213232132112332220
51144324321012022
631332402233452
73040021653611
oct475636267650
9132082102715
1042655641512
11170a9aa78a0
128325355888
13403a307683
1420c9174c08
151199c088e2
hex9ee796fa8

42655641512 has 96 divisors (see below), whose sum is σ = 89976186720. Its totient is φ = 18801020160.

The previous prime is 42655641499. The next prime is 42655641521. The reversal of 42655641512 is 21514655624.

It is a super-2 number, since 2×426556415122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42655641512.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63006518 + ... + 63007194.

It is an arithmetic number, because the mean of its divisors is an integer number (937251945).

Almost surely, 242655641512 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 42655641512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988093360).

42655641512 is an abundant number, since it is smaller than the sum of its proper divisors (47320545208).

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

42655641512 is a wasteful number, since it uses less digits than its factorization.

42655641512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1250 counting only the distinct ones).

The product of its digits is 288000, while the sum is 41.

The spelling of 42655641512 in words is "forty-two billion, six hundred fifty-five million, six hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 523 677 814 1046 1354 1369 1628 2092 2708 2738 3256 4184 5416 5476 5753 7447 10952 11506 14894 15059 19351 23012 25049 29788 30118 38702 46024 50098 59576 60236 77404 100196 120472 154808 200392 212861 275539 354071 425722 551078 708142 715987 851444 926813 1102156 1416284 1431974 1702888 1853626 2204312 2832568 2863948 3707252 3894781 5727896 7414504 7789562 7875857 10194943 13100627 15579124 15751714 20389886 26201254 31158248 31503428 40779772 52402508 63006856 81559544 104805016 144106897 288213794 484723199 576427588 969446398 1152855176 1938892796 3877785592 5331955189 10663910378 21327820756 42655641512