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234433626334432 = 2572976135166113
BaseRepresentation
bin110101010011011101010101…
…000001010110010011100000
31010202001122011111110200000021
4311103131111001112103200
5221211430031320200212
62150333153212003224
7100244161543032460
oct6523352501262340
91122048144420007
10234433626334432
11687748194370a8
1222362983160514
13a0a6cc459a7a5
1441c69103a3ba0
151c182538aa307
hexd537550564e0

234433626334432 has 48 divisors (see below), whose sum is σ = 527493397973472. Its totient is φ = 100468175339520.

The previous prime is 234433626334423. The next prime is 234433626334463.

234433626334432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234433626334432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10916593 + ... + 24249520.

It is an arithmetic number, because the mean of its divisors is an integer number (10989445791114).

Almost surely, 2234433626334432 is an apocalyptic number.

It is an amenable number.

234433626334432 is an abundant number, since it is smaller than the sum of its proper divisors (293059771639040).

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

234433626334432 is a wasteful number, since it uses less digits than its factorization.

234433626334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35195891 (or 35195883 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 52.

The spelling of 234433626334432 in words is "two hundred thirty-four trillion, four hundred thirty-three billion, six hundred twenty-six million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 29761 59522 119044 208327 238088 416654 476176 833308 952352 1666616 3333232 6666464 35166113 70332226 140664452 246162791 281328904 492325582 562657808 984651164 1125315616 1969302328 3938604656 7877209312 1046578688993 2093157377986 4186314755972 7326050822951 8372629511944 14652101645902 16745259023888 29304203291804 33490518047776 58608406583608 117216813167216 234433626334432