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2251664424432 = 2432173129670889
BaseRepresentation
bin100000110001000001101…
…010000111110111110000
321222020221100212020011200
4200301001222013313300
5243342402043040212
64442222251011200
7321451225550133
oct40610152076760
97866840766150
102251664424432
11798a1a959815
12304479a39b00
1313443c3c4a97
147ada436621a
153d886ebe6dc
hex20c41a87df0

2251664424432 has 120 divisors (see below), whose sum is σ = 6887444353920. Its totient is φ = 683617259520.

The previous prime is 2251664424409. The next prime is 2251664424467. The reversal of 2251664424432 is 2344244661522.

2251664424432 is a `hidden beast` number, since 2 + 2 + 5 + 166 + 4 + 42 + 443 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14759557 + ... + 14911332.

It is an arithmetic number, because the mean of its divisors is an integer number (57395369616).

Almost surely, 22251664424432 is an apocalyptic number.

It is an amenable number.

2251664424432 is an abundant number, since it is smaller than the sum of its proper divisors (4635779929488).

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

2251664424432 is a wasteful number, since it uses less digits than its factorization.

2251664424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29670951 (or 29670942 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 2251664424432 in words is "two trillion, two hundred fifty-one billion, six hundred sixty-four million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 37944 75888 29670889 59341778 89012667 118683556 178025334 237367112 267038001 356050668 474734224 504405113 534076002 712101336 919797559 1008810226 1068152004 1424202672 1513215339 1839595118 2017620452 2136304008 2759392677 3026430678 3679190236 4035240904 4272608016 4539646017 5518785354 6052861356 7358380472 8070481808 8278178031 9079292034 11037570708 12105722712 14716760944 15636558503 16556356062 18158584068 22075141416 24211445424 31273117006 33112712124 36317168136 44150282832 46909675509 62546234012 66225424248 72634336272 93819351018 125092468024 132450848496 140729026527 187638702036 250184936048 281458053054 375277404072 562916106108 750554808144 1125832212216 2251664424432