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230629441752 = 23331576800821
BaseRepresentation
bin1101011011001010010…
…1100000000011011000
3211001021221222112122000
43112302211200003120
512234312114114002
6253541045201000
722443132624003
oct3266245400330
9731257875560
10230629441752
118989a342126
1238845400160
1318995c1a9c8
14b23bd7853a
155eec48461c
hex35b29600d8

230629441752 has 64 divisors (see below), whose sum is σ = 644717925600. Its totient is φ = 76386810240.

The previous prime is 230629441747. The next prime is 230629441769. The reversal of 230629441752 is 257144926032.

230629441752 is a `hidden beast` number, since 2 + 3 + 0 + 629 + 4 + 4 + 17 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230629441698 and 230629441707.

It is a congruent number.

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, 3366499 + ... + 3434322.

Almost surely, 2230629441752 is an apocalyptic number.

It is an amenable number.

230629441752 is an abundant number, since it is smaller than the sum of its proper divisors (414088483848).

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

230629441752 is a wasteful number, since it uses less digits than its factorization.

230629441752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800993 (or 6800983 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 230629441752 in words is "two hundred thirty billion, six hundred twenty-nine million, four hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 16956 33912 6800821 13601642 20402463 27203284 40804926 54406568 61207389 81609852 122414778 163219704 183622167 244829556 367244334 489659112 734488668 1067728897 1468977336 2135457794 3203186691 4270915588 6406373382 8541831176 9609560073 12812746764 19219120146 25625493528 28828680219 38438240292 57657360438 76876480584 115314720876 230629441752