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2136916976128 = 29111493736827
BaseRepresentation
bin11111000110001010001…
…011010110001000000000
321120021202102021220000221
4133012022023112020000
5240002401221214003
64313404110552424
7310246536412414
oct37061213261000
97507672256027
102136916976128
11754296a18510
122a6195208714
1312668349328c
14755da862d44
153a8bd20a7bd
hex1f18a2d6200

2136916976128 has 160 divisors (see below), whose sum is σ = 4702331620800. Its totient is φ = 962079375360.

The previous prime is 2136916976101. The next prime is 2136916976171. The reversal of 2136916976128 is 8216796196312.

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, 313006251 + ... + 313013077.

It is an arithmetic number, because the mean of its divisors is an integer number (29389572630).

Almost surely, 22136916976128 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 2136916976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351165810400).

2136916976128 is an abundant number, since it is smaller than the sum of its proper divisors (2565414644672).

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

2136916976128 is a wasteful number, since it uses less digits than its factorization.

2136916976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7362 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 61.

The spelling of 2136916976128 in words is "two trillion, one hundred thirty-six billion, nine hundred sixteen million, nine hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 373 512 596 704 746 1192 1408 1492 1639 2384 2816 2984 3278 4103 4768 5632 5968 6556 6827 8206 9536 11936 13112 13654 16412 19072 23872 26224 27308 32824 38144 47744 52448 54616 55577 65648 75097 76288 95488 104896 109232 111154 131296 150194 190976 209792 218464 222308 262592 300388 419584 436928 444616 525184 600776 611347 839168 873856 889232 1017223 1050368 1201552 1222694 1747712 1778464 2034446 2100736 2403104 2445388 2546471 3495424 3556928 4068892 4806208 4890776 5092942 7113856 8137784 9612416 9781552 10185884 11189453 14227712 16275568 19224832 19563104 20371768 22378906 28011181 28455424 32551136 38449664 39126208 40743536 44757812 56022362 65102272 78252416 81487072 89515624 112044724 130204544 156504832 162974144 179031248 224089448 260409088 313009664 325948288 358062496 379424179 448178896 520818176 651896576 716124992 758848358 896357792 1303793152 1432249984 1517696716 1792715584 2864499968 3035393432 3585431168 4173665969 5728999936 6070786864 7170862336 8347331938 12141573728 14341724672 16694663876 24283147456 33389327752 48566294912 66778655504 97132589824 133557311008 194265179648 267114622016 534229244032 1068458488064 2136916976128