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34012603664 = 24131764714867
BaseRepresentation
bin11111101011010011…
…110010010100010000
310020210101201021210122
4133223103302110100
51024124211304124
623343012045412
72312602234544
oct375323622420
9106711637718
1034012603664
1113474256606
126712903868
1332907aa4b0
14190931da24
15d4103d75e
hex7eb4f2510

34012603664 has 80 divisors (see below), whose sum is σ = 75264432768. Its totient is φ = 14750877696.

The previous prime is 34012603663. The next prime is 34012603699. The reversal of 34012603664 is 46630621043.

It is not an unprimeable number, because it can be changed into a prime (34012603663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280359 + ... + 2295225.

Almost surely, 234012603664 is an apocalyptic number.

34012603664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012603664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37632216384).

34012603664 is an abundant number, since it is smaller than the sum of its proper divisors (41251829104).

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

34012603664 is a wasteful number, since it uses less digits than its factorization.

34012603664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15552 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 34012603664 in words is "thirty-four billion, twelve million, six hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 647 884 1294 1768 2588 3536 5176 8411 10352 10999 14867 16822 21998 29734 33644 43996 59468 67288 87992 118936 134576 142987 175984 193271 237872 252739 285974 386542 505478 571948 773084 1010956 1143896 1546168 2021912 2287792 3092336 3285607 4043824 6571214 9618949 13142428 19237898 26284856 38475796 52569712 76951592 125046337 153903184 163522133 250092674 327044266 500185348 654088532 1000370696 1308177064 2000741392 2125787729 2616354128 4251575458 8503150916 17006301832 34012603664