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18885630624 = 253740968713
BaseRepresentation
bin10001100101101010…
…111101101010100000
31210202011122102211220
4101211222331222200
5302134210134444
612402000335040
71236001132410
oct214552755240
953664572756
1018885630624
11801149a8a3
1237b0914480
131a1c865683
14cb22c6640
15757ee7619
hex465abdaa0

18885630624 has 96 divisors (see below), whose sum is σ = 56796243840. Its totient is φ = 5382623232.

The previous prime is 18885630619. The next prime is 18885630629. The reversal of 18885630624 is 42603658881.

It is a happy number.

It is a Cunningham number, because it is equal to 1374252-1.

It is an interprime number because it is at equal distance from previous prime (18885630619) and next prime (18885630629).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18885630629) 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, 240492 + ... + 309204.

It is an arithmetic number, because the mean of its divisors is an integer number (591627540).

Almost surely, 218885630624 is an apocalyptic number.

18885630624 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 18885630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28398121920).

18885630624 is an abundant number, since it is smaller than the sum of its proper divisors (37910613216).

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

18885630624 is a wasteful number, since it uses less digits than its factorization.

18885630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69142 (or 69134 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 18885630624 in words is "eighteen billion, eight hundred eighty-five million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 409 672 818 1227 1636 2454 2863 3272 4908 5726 6544 8589 9816 11452 13088 17178 19632 22904 34356 39264 45808 68712 68713 91616 137424 137426 206139 274848 274852 412278 480991 549704 824556 961982 1099408 1442973 1649112 1923964 2198816 2885946 3298224 3847928 5771892 6596448 7695856 11543784 15391712 23087568 28103617 46175136 56207234 84310851 112414468 168621702 196725319 224828936 337243404 393450638 449657872 590175957 674486808 786901276 899315744 1180351914 1348973616 1573802552 2360703828 2697947232 3147605104 4721407656 6295210208 9442815312 18885630624