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42643075072 = 21213261603
BaseRepresentation
bin100111101101101110…
…011011000000000000
311002001212110122212211
4213231232123000000
51144313111400242
631331233031504
73036510105013
oct475556330000
9132055418784
1042643075072
11170a29a4504
1283210b5594
134037827900
1420c762337a
151198a75317
hex9edb9b000

42643075072 has 78 divisors (see below), whose sum is σ = 92341500612. Its totient is φ = 19681099776.

The previous prime is 42643075039. The next prime is 42643075093. The reversal of 42643075072 is 27057034624.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661423 + ... + 723025.

Almost surely, 242643075072 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 42643075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46170750306).

42643075072 is an abundant number, since it is smaller than the sum of its proper divisors (49698425540).

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

42643075072 is an equidigital number, since it uses as much as digits as its factorization.

42643075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61653 (or 61618 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 42643075072 in words is "forty-two billion, six hundred forty-three million, seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 10816 13312 21632 26624 43264 53248 61603 86528 123206 173056 246412 346112 492824 692224 800839 985648 1601678 1971296 3203356 3942592 6406712 7885184 10410907 12813424 15770368 20821814 25626848 31540736 41643628 51253696 63081472 83287256 102507392 126162944 166574512 205014784 252325888 333149024 410029568 666298048 820059136 1332596096 1640118272 2665192192 3280236544 5330384384 10660768768 21321537536 42643075072