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34554525104 = 24111919154101
BaseRepresentation
bin100000001011100111…
…000011010110110000
310022012011102202021002
4200023213003112300
51031231424300404
623512451221132
72332202421461
oct401347032660
9108164382232
1034554525104
1113722146170
1268442a77a8
133348b4c878
14195b2a8d68
15d738d7c1e
hex80b9c35b0

34554525104 has 80 divisors (see below), whose sum is σ = 77283624960. Its totient is φ = 14801760000.

The previous prime is 34554525079. The next prime is 34554525133. The reversal of 34554525104 is 40152545543.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611654 + ... + 665754.

It is an arithmetic number, because the mean of its divisors is an integer number (966045312).

Almost surely, 234554525104 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 34554525104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38641812480).

34554525104 is an abundant number, since it is smaller than the sum of its proper divisors (42729099856).

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

34554525104 is a wasteful number, since it uses less digits than its factorization.

34554525104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54330 (or 54324 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 34554525104 in words is "thirty-four billion, five hundred fifty-four million, five hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 191 209 304 382 418 764 836 1528 1672 2101 3056 3344 3629 4202 7258 8404 14516 16808 29032 33616 39919 54101 58064 79838 108202 159676 216404 319352 432808 595111 638704 865616 1027919 1190222 2055838 2380444 4111676 4760888 8223352 9521776 10333291 11307109 16446704 20666582 22614218 41333164 45228436 82666328 90456872 113666201 165332656 180913744 196332529 227332402 392665058 454664804 785330116 909329608 1570660232 1818659216 2159657819 3141320464 4319315638 8638631276 17277262552 34554525104