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70641175808 = 2871731911193
BaseRepresentation
bin100000111001010001…
…0101100110100000000
320202100002211112201202
41001302202230310000
52124133120111213
652241353320332
75050361041610
oct1016242546400
9222302745652
1070641175808
1127a60113a35
12118357060a8
13687a22c018
1435c1c3aa40
151c86a63b58
hex10728acd00

70641175808 has 144 divisors (see below), whose sum is σ = 163066853376. Its totient is φ = 29917102080.

The previous prime is 70641175807. The next prime is 70641175819. The reversal of 70641175808 is 80857114607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70641175807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59212460 + ... + 59213652.

It is an arithmetic number, because the mean of its divisors is an integer number (1132408704).

Almost surely, 270641175808 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 70641175808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81533426688).

70641175808 is an abundant number, since it is smaller than the sum of its proper divisors (92425677568).

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

70641175808 is a wasteful number, since it uses less digits than its factorization.

70641175808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 47.

The spelling of 70641175808 in words is "seventy billion, six hundred forty-one million, one hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 191 224 256 346 382 448 692 764 896 1193 1211 1337 1384 1528 1792 2386 2422 2674 2768 3056 4772 4844 5348 5536 6112 8351 9544 9688 10696 11072 12224 16702 19088 19376 21392 22144 24448 33043 33404 38176 38752 42784 44288 48896 66086 66808 76352 77504 85568 132172 133616 152704 155008 171136 206389 227863 231301 264344 267232 305408 310016 342272 412778 455726 462602 528688 534464 825556 911452 925204 1057376 1068928 1444723 1595041 1651112 1822904 1850408 2114752 2137856 2889446 3190082 3302224 3645808 3700816 4229504 5778892 6380164 6604448 7291616 7401632 8459008 11557784 12760328 13208896 14583232 14803264 23115568 25520656 26417792 29166464 29606528 39420299 46231136 51041312 52835584 58332928 59213056 78840598 92462272 102082624 157681196 184924544 204165248 275942093 315362392 369849088 408330496 551884186 630724784 1103768372 1261449568 2207536744 2522899136 4415073488 5045798272 8830146976 10091596544 17660293952 35320587904 70641175808