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1253505404032 = 27710713074781
BaseRepresentation
bin10010001111011010101…
…111101000110010000000
311102211111221120020221021
4102033122233220302000
5131014134340412112
62355504043035224
7156364014063430
oct22173257506200
94384457506837
101253505404032
11443677138072
12182b3050bb14
13912886669ab
14449546222c0
15229171a8907
hex123dabe8c80

1253505404032 has 64 divisors (see below), whose sum is σ = 2880635970240. Its totient is φ = 532195845120.

The previous prime is 1253505404023. The next prime is 1253505404071. The reversal of 1253505404032 is 2304045053521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6441519 + ... + 6633262.

It is an arithmetic number, because the mean of its divisors is an integer number (45009937035).

Almost surely, 21253505404032 is an apocalyptic number.

It is an amenable number.

1253505404032 is an abundant number, since it is smaller than the sum of its proper divisors (1627130566208).

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

1253505404032 is a wasteful number, since it uses less digits than its factorization.

1253505404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074909 (or 13074897 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 1253505404032 in words is "one trillion, two hundred fifty-three billion, five hundred five million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 428 448 749 856 896 1498 1712 2996 3424 5992 6848 11984 13696 23968 47936 95872 13074781 26149562 52299124 91523467 104598248 183046934 209196496 366093868 418392992 732187736 836785984 1399001567 1464375472 1673571968 2798003134 2928750944 5596006268 5857501888 9793010969 11192012536 11715003776 19586021938 22384025072 39172043876 44768050144 78344087752 89536100288 156688175504 179072200576 313376351008 626752702016 1253505404032