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34931890564 = 221719432412609
BaseRepresentation
bin100000100010000110…
…100101100110000100
310100011110111220100121
4200202012211212010
51033020030444224
624014131351324
72344434112354
oct404206454604
9110143456317
1034931890564
11138a616144a
12692a752544
1333a909783c
14199545ab64
15d96ac9be4
hex8221a5984

34931890564 has 96 divisors (see below), whose sum is σ = 70034025600. Its totient is φ = 15142256640.

The previous prime is 34931890529. The next prime is 34931890657. The reversal of 34931890564 is 46509813943.

It is a happy 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, 13387692 + ... + 13390300.

It is an arithmetic number, because the mean of its divisors is an integer number (729521100).

Almost surely, 234931890564 is an apocalyptic number.

34931890564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34931890564 is an abundant number, since it is smaller than the sum of its proper divisors (35102135036).

34931890564 is a wasteful number, since it uses less digits than its factorization.

34931890564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 34931890564 in words is "thirty-four billion, nine hundred thirty-one million, eight hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 4 17 19 34 38 43 68 76 86 172 241 323 482 646 731 817 964 1292 1462 1634 2609 2924 3268 4097 4579 5218 8194 9158 10363 10436 13889 16388 18316 20726 27778 41452 44353 49571 55556 77843 88706 99142 112187 155686 176171 177412 196897 198284 224374 311372 352342 393794 448748 628769 704684 787588 842707 1257538 1685414 1907179 2131553 2515076 3347249 3370828 3814358 4263106 6694498 7628716 8526212 10689073 11946611 13388996 21378146 23893222 27037067 36236401 42756292 47786444 54074134 72472802 108148268 144945604 203092387 406184774 459630139 513704273 812369548 919260278 1027408546 1838520556 2054817092 8732972641 17465945282 34931890564