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38452107888 = 24331910942979
BaseRepresentation
bin100011110011111011…
…001001101001110000
310200020210102110201000
4203303323021221300
51112222214423023
625355322042000
72530610344545
oct436373115160
9120223373630
1038452107888
1115342237867
127551649300
13381a49247c
141c0ab9cbcc
151000b7c243
hex8f3ec9a70

38452107888 has 160 divisors (see below), whose sum is σ = 117249440000. Its totient is φ = 12031089408.

The previous prime is 38452107817. The next prime is 38452107919. The reversal of 38452107888 is 88870125483.

38452107888 is a `hidden beast` number, since 3 + 8 + 452 + 107 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873183 + ... + 916161.

It is an arithmetic number, because the mean of its divisors is an integer number (732809000).

Almost surely, 238452107888 is an apocalyptic number.

38452107888 is a gapful number since it is divisible by the number (38) 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 38452107888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58624720000).

38452107888 is an abundant number, since it is smaller than the sum of its proper divisors (78797332112).

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

38452107888 is a wasteful number, since it uses less digits than its factorization.

38452107888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43124 (or 43112 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 38452107888 in words is "thirty-eight billion, four hundred fifty-two million, one hundred seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 109 114 144 152 171 216 218 228 304 327 342 432 436 456 513 654 684 872 912 981 1026 1308 1368 1744 1962 2052 2071 2616 2736 2943 3924 4104 4142 5232 5886 6213 7848 8208 8284 11772 12426 15696 16568 18639 23544 24852 33136 37278 42979 47088 49704 55917 74556 85958 99408 111834 128937 149112 171916 223668 257874 298224 343832 386811 447336 515748 687664 773622 816601 894672 1031496 1160433 1547244 1633202 2062992 2320866 2449803 3094488 3266404 4641732 4684711 4899606 6188976 6532808 7349409 9283464 9369422 9799212 13065616 14054133 14698818 18566928 18738844 19598424 22048227 28108266 29397636 37477688 39196848 42162399 44096454 56216532 58795272 74955376 84324798 88192908 89009509 112433064 117590544 126487197 168649596 176385816 178019018 224866128 252974394 267028527 337299192 352771632 356038036 505948788 534057054 674598384 712076072 801085581 1011897576 1068114108 1424152144 1602171162 2023795152 2136228216 2403256743 3204342324 4272456432 4806513486 6408684648 9613026972 12817369296 19226053944 38452107888