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5126246105088 = 218329224771
BaseRepresentation
bin100101010011000110000…
…0101000000000000000000
3200011001201220102202022010
41022212030011000000000
51132442023000330323
614522544232412520
71036234104643353
oct112461405000000
920131656382263
105126246105088
1116a70353158a9
126a9601547140
132b2531324cb4
1413a17c48229a
158d52ac24c93
hex4a98c140000

5126246105088 has 152 divisors (see below), whose sum is σ = 14141404507680. Its totient is φ = 1649818992640.

The previous prime is 5126246105081. The next prime is 5126246105093. The reversal of 5126246105088 is 8805016426215.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126246105081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22694143 + ... + 22918913.

Almost surely, 25126246105088 is an apocalyptic number.

5126246105088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126246105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070702253840).

5126246105088 is an abundant number, since it is smaller than the sum of its proper divisors (9015158402592).

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

5126246105088 is an frugal number, since it uses more digits than its factorization.

5126246105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224839 (or 224805 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 5126246105088 in words is "five trillion, one hundred twenty-six billion, two hundred forty-six million, one hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 4096 5568 6144 7424 8192 11136 12288 14848 16384 22272 24576 29696 32768 44544 49152 59392 65536 89088 98304 118784 131072 178176 196608 224771 237568 262144 356352 393216 449542 475136 674313 712704 786432 899084 950272 1348626 1425408 1798168 1900544 2697252 2850816 3596336 3801088 5394504 5701632 6518359 7192672 7602176 10789008 11403264 13036718 14385344 19555077 21578016 22806528 26073436 28770688 39110154 43156032 52146872 57541376 78220308 86312064 104293744 115082752 156440616 172624128 208587488 230165504 312881232 345248256 417174976 460331008 625762464 690496512 834349952 920662016 1251524928 1380993024 1668699904 1841324032 2503049856 2761986048 3337399808 3682648064 5006099712 5523972096 6674799616 7365296128 10012199424 11047944192 13349599232 14730592256 20024398848 22095888384 26699198464 29461184512 40048797696 44191776768 53398396928 58922369024 80097595392 88383553536 106796793856 160195190784 176767107072 213593587712 320390381568 427187175424 640780763136 854374350848 1281561526272 1708748701696 2563123052544 5126246105088