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253269751428 = 2233163110912973
BaseRepresentation
bin1110101111100000001…
…1011011011010000100
3220012201210201102212000
43223320003123122010
513122144024021203
6312203413425300
724204155236521
oct3537003333204
9805653642760
10253269751428
1198458198961
124110363b230
131ab63610055
14c388b96148
1568c4de44a3
hex3af80db684

253269751428 has 96 divisors (see below), whose sum is σ = 661300348800. Its totient is φ = 83823196032.

The previous prime is 253269751403. The next prime is 253269751463. The reversal of 253269751428 is 824157962352.

253269751428 is a `hidden beast` number, since 2 + 5 + 32 + 6 + 97 + 514 + 2 + 8 = 666.

253269751428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 19516350 + ... + 19529322.

It is an arithmetic number, because the mean of its divisors is an integer number (6888545300).

Almost surely, 2253269751428 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 253269751428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330650174400).

253269751428 is an abundant number, since it is smaller than the sum of its proper divisors (408030597372).

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

253269751428 is a wasteful number, since it uses less digits than its factorization.

253269751428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14250 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 253269751428 in words is "two hundred fifty-three billion, two hundred sixty-nine million, seven hundred fifty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1109 1467 1956 2218 2934 3327 4401 4436 5868 6654 8802 9981 12973 13308 17604 19962 25946 29943 38919 39924 51892 59886 77838 116757 119772 155676 180767 233514 350271 361534 467028 542301 700542 723068 1084602 1401084 1626903 2114599 2169204 3253806 4229198 4880709 6343797 6507612 8458396 9761418 12687594 14387057 19031391 19522836 25375188 28774114 38062782 43161171 57094173 57548228 76125564 86322342 114188346 129483513 172644684 228376692 258967026 388450539 517934052 776901078 1553802156 2345090291 4690180582 7035270873 9380361164 14070541746 21105812619 28141083492 42211625238 63317437857 84423250476 126634875714 253269751428