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34691431516 = 22731411397013
BaseRepresentation
bin100000010011110001…
…010011110001011100
310022112201001022112221
4200103301103301130
51032022001302031
623534221435124
72335454205520
oct402361236134
9108481038487
1034691431516
1113792454a65
12688210baa4
13336b315a91
141971545d80
15d8092ca11
hex813c53c5c

34691431516 has 96 divisors (see below), whose sum is σ = 73906237440. Its totient is φ = 13934246400.

The previous prime is 34691431501. The next prime is 34691431517. The reversal of 34691431516 is 61513419643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34691431517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4943226 + ... + 4950238.

It is an arithmetic number, because the mean of its divisors is an integer number (769856640).

Almost surely, 234691431516 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 34691431516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36953118720).

34691431516 is an abundant number, since it is smaller than the sum of its proper divisors (39214805924).

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

34691431516 is a wasteful number, since it uses less digits than its factorization.

34691431516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7233 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The spelling of 34691431516 in words is "thirty-four billion, six hundred ninety-one million, four hundred thirty-one thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 139 164 217 278 287 434 556 574 868 973 1148 1271 1946 2542 3892 4309 5084 5699 7013 8618 8897 11398 14026 17236 17794 22796 28052 30163 35588 39893 49091 60326 79786 98182 120652 159572 176669 196364 217403 287533 353338 434806 575066 706676 869612 974807 1150132 1236683 1521821 1949614 2012731 2473366 3043642 3899228 4025462 4946732 6087284 6823649 8050924 8913523 13647298 17827046 27294596 30219017 35654092 39967087 60438034 62394661 79934174 120876068 124789322 159868348 211533119 249578644 279769609 423066238 559539218 846132476 1119078436 1238979697 2477959394 4955918788 8672857879 17345715758 34691431516