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10342014656 = 263153591667
BaseRepresentation
bin10011010000110111…
…01001111011000000
3222200202022210000212
421220123221323000
5132140023432111
64430121133252
7514166450141
oct115033517300
928622283025
1010342014656
114427885756
12200762a228
13c8a808acc
14701751ac8
15407e1a98b
hex2686e9ec0

10342014656 has 112 divisors (see below), whose sum is σ = 21963156480. Its totient is φ = 4823669760.

The previous prime is 10342014649. The next prime is 10342014673. The reversal of 10342014656 is 65641024301.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 6203135 + ... + 6204801.

Almost surely, 210342014656 is an apocalyptic number.

10342014656 is a gapful number since it is divisible by the number (16) 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 10342014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981578240).

10342014656 is an abundant number, since it is smaller than the sum of its proper divisors (11621141824).

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

10342014656 is a wasteful number, since it uses less digits than its factorization.

10342014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10342014656 its reverse (65641024301), we get a palindrome (75983038957).

The spelling of 10342014656 in words is "ten billion, three hundred forty-two million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 53 59 62 64 106 118 124 212 236 248 424 472 496 848 944 992 1643 1667 1696 1829 1888 1984 3127 3286 3334 3392 3658 3776 6254 6572 6668 7316 12508 13144 13336 14632 25016 26288 26672 29264 50032 51677 52576 53344 58528 88351 96937 98353 100064 103354 105152 106688 117056 176702 193874 196706 200128 206708 353404 387748 393412 413416 706808 775496 786824 826832 1413616 1550992 1573648 1653664 2738881 2827232 3048943 3101984 3147296 3307328 5212709 5477762 5654464 6097886 6203968 6294592 10425418 10955524 12195772 20850836 21911048 24391544 41701672 43822096 48783088 83403344 87644192 97566176 161593979 166806688 175288384 195132352 323187958 333613376 646375916 1292751832 2585503664 5171007328 10342014656