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10626969408 = 263118360623
BaseRepresentation
bin10011110010110101…
…01010111101000000
31000102121111222110120
421321122222331000
5133231001010113
64514300500240
7524226515046
oct117132527500
930377458416
1010626969408
114563713450
122086b4a680
1310048697a3
1472b52a396
15422e56a23
hex2796aaf40

10626969408 has 112 divisors (see below), whose sum is σ = 31043367936. Its totient is φ = 3181442560.

The previous prime is 10626969407. The next prime is 10626969413. The reversal of 10626969408 is 80496962601.

10626969408 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 2×106269694082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626969407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144985 + ... + 205607.

It is an arithmetic number, because the mean of its divisors is an integer number (277172928).

Almost surely, 210626969408 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 10626969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521683968).

10626969408 is an abundant number, since it is smaller than the sum of its proper divisors (20416398528).

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

10626969408 is a wasteful number, since it uses less digits than its factorization.

10626969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60732 (or 60722 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10626969408 in words is "ten billion, six hundred twenty-six million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3984 5312 5478 7304 7968 10956 14608 15936 21912 29216 43824 58432 60623 87648 121246 175296 181869 242492 363738 484984 666853 727476 969968 1333706 1454952 1939936 2000559 2667412 2909904 3879872 4001118 5031709 5334824 5819808 8002236 10063418 10669648 11639616 15095127 16004472 20126836 21339296 30190254 32008944 40253672 42678592 55348799 60380508 64017888 80507344 110697598 120761016 128035776 161014688 166046397 221395196 241522032 322029376 332092794 442790392 483044064 664185588 885580784 966088128 1328371176 1771161568 2656742352 3542323136 5313484704 10626969408