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10629622248 = 23371031075741
BaseRepresentation
bin10011110011001001…
…10010100111101000
31000102210111202110220
421321210302213220
5133232140402443
64514433410040
7524261204220
oct117144624750
930383452426
1010629622248
114565165583
122087a09920
13100528810b
1472ba1b080
154232cca83
hex2799329e8

10629622248 has 128 divisors (see below), whose sum is σ = 30957189120. Its totient is φ = 2978922240.

The previous prime is 10629622193. The next prime is 10629622261. The reversal of 10629622248 is 84222692601.

10629622248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106296222482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848658 + ... + 1854398.

It is an arithmetic number, because the mean of its divisors is an integer number (241853040).

Almost surely, 210629622248 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 10629622248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478594560).

10629622248 is an abundant number, since it is smaller than the sum of its proper divisors (20327566872).

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

10629622248 is a wasteful number, since it uses less digits than its factorization.

10629622248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10629622248 in words is "ten billion, six hundred twenty-nine million, six hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 107 168 206 214 309 321 412 428 618 642 721 749 824 856 1236 1284 1442 1498 2163 2247 2472 2568 2884 2996 4326 4494 5741 5768 5992 8652 8988 11021 11482 17223 17304 17976 22042 22964 33063 34446 40187 44084 45928 66126 68892 77147 80374 88168 120561 132252 137784 154294 160748 231441 241122 264504 308588 321496 462882 482244 591323 614287 617176 925764 964488 1182646 1228574 1773969 1842861 1851528 2365292 2457148 3547938 3685722 4139261 4300009 4730584 4914296 7095876 7371444 8278522 8600018 12417783 12900027 14191752 14742888 16557044 17200036 24835566 25800054 33114088 34400072 49671132 51600108 63271561 99342264 103200216 126543122 189814683 253086244 379629366 442900927 506172488 759258732 885801854 1328702781 1518517464 1771603708 2657405562 3543207416 5314811124 10629622248