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10634626044 = 2232757173907
BaseRepresentation
bin10011110011101111…
…11000001111111100
31000110010220222101200
421321313320033330
5133234431013134
64515132535500
7524351554440
oct117167701774
930403828350
1010634626044
114567a72a49
122089621590
13100631a843
1472c560820
1542396a499
hex279df83fc

10634626044 has 72 divisors (see below), whose sum is σ = 30776473728. Its totient is φ = 3033102240.

The previous prime is 10634626019. The next prime is 10634626049. The reversal of 10634626044 is 44062643601.

10634626044 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 46 + 2 + 604 + 4 = 666.

It is a super-2 number, since 2×106346260442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634626049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106939 + ... + 180845.

It is an arithmetic number, because the mean of its divisors is an integer number (427451024).

Almost surely, 210634626044 is an apocalyptic number.

10634626044 is a gapful number since it is divisible by the number (14) 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 10634626044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388236864).

10634626044 is an abundant number, since it is smaller than the sum of its proper divisors (20141847684).

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

10634626044 is a wasteful number, since it uses less digits than its factorization.

10634626044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74495 (or 74490 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10634626044 in words is "ten billion, six hundred thirty-four million, six hundred twenty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 571 1142 1713 2284 3426 3997 5139 6852 7994 10278 11991 15988 20556 23982 35973 47964 71946 73907 143892 147814 221721 295628 443442 517349 665163 886884 1034698 1330326 1552047 2069396 2660652 3104094 4656141 6208188 9312282 18624564 42200897 84401794 126602691 168803588 253205382 295406279 379808073 506410764 590812558 759616146 886218837 1181625116 1519232292 1772437674 2658656511 3544875348 5317313022 10634626044