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10472623440 = 2435411676373
BaseRepresentation
bin10011100000011011…
…11000110101010000
31000000212002101121020
421300031320311100
5132421442422230
64451104355440
7520343554566
oct116015706520
930025071536
1010472623440
114494582aa4
122043315b80
13cab8a8706
14714c2da36
15414619810
hex270378d50

10472623440 has 160 divisors (see below), whose sum is σ = 33461358336. Its totient is φ = 2707845120.

The previous prime is 10472623423. The next prime is 10472623477. The reversal of 10472623440 is 4432627401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640094 + ... + 1646466.

Almost surely, 210472623440 is an apocalyptic number.

10472623440 is a gapful number since it is divisible by the number (10) 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 10472623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730679168).

10472623440 is an abundant number, since it is smaller than the sum of its proper divisors (22988734896).

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

10472623440 is a wasteful number, since it uses less digits than its factorization.

10472623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 10472623440 in words is "ten billion, four hundred seventy-two million, six hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 167 205 240 246 328 334 410 492 501 615 656 668 820 835 984 1002 1230 1336 1640 1670 1968 2004 2460 2505 2672 3280 3340 4008 4920 5010 6373 6680 6847 8016 9840 10020 12746 13360 13694 19119 20040 20541 25492 27388 31865 34235 38238 40080 41082 50984 54776 63730 68470 76476 82164 95595 101968 102705 109552 127460 136940 152952 164328 191190 205410 254920 261293 273880 305904 328656 382380 410820 509840 522586 547760 764760 783879 821640 1045172 1064291 1306465 1529520 1567758 1643280 2090344 2128582 2612930 3135516 3192873 3919395 4180688 4257164 5225860 5321455 6271032 6385746 7838790 8514328 10451720 10642910 12542064 12771492 15677580 15964365 17028656 20903440 21285820 25542984 31355160 31928730 42571640 43635931 51085968 62710320 63857460 85143280 87271862 127714920 130907793 174543724 218179655 255429840 261815586 349087448 436359310 523631172 654538965 698174896 872718620 1047262344 1309077930 1745437240 2094524688 2618155860 3490874480 5236311720 10472623440