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2134050634632 = 233727125558717
BaseRepresentation
bin11111000011011111010…
…101000111101110001000
321120000100122202122200210
4133003133111013232020
5234431013430302012
64312211435201120
7310115523045600
oct37033725075610
97500318678623
102134050634632
11753055a48744
122a57152a61a0
131263176a8817
1475407ccdc00
153a7a176923c
hex1f0df547b88

2134050634632 has 96 divisors (see below), whose sum is σ = 6293578720320. Its totient is φ = 601141000320.

The previous prime is 2134050634579. The next prime is 2134050634633. The reversal of 2134050634632 is 2364360504312.

It is a super-2 number, since 2×21340506346322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2134050634633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12695863 + ... + 12862854.

It is an arithmetic number, because the mean of its divisors is an integer number (65558111670).

Almost surely, 22134050634632 is an apocalyptic number.

It is an amenable number.

2134050634632 is an abundant number, since it is smaller than the sum of its proper divisors (4159528085688).

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

2134050634632 is a wasteful number, since it uses less digits than its factorization.

2134050634632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25558811 (or 25558800 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 2134050634632 in words is "two trillion, one hundred thirty-four billion, fifty million, six hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 284 294 392 426 497 568 588 852 994 1176 1491 1704 1988 2982 3479 3976 5964 6958 10437 11928 13916 20874 27832 41748 83496 25558717 51117434 76676151 102234868 153352302 178911019 204469736 306704604 357822038 536733057 613409208 715644076 1073466114 1252377133 1431288152 1814668907 2146932228 2504754266 3629337814 3757131399 4293864456 5009508532 5444006721 7258675628 7514262798 10019017064 10888013442 12702682349 14517351256 15028525596 21776026884 25405364698 30057051192 38108047047 43552053768 50810729396 76216094094 88918776443 101621458792 152432188188 177837552886 266756329329 304864376376 355675105772 533512658658 711350211544 1067025317316 2134050634632