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155857300038 = 2361128033467
BaseRepresentation
bin1001000100100111010…
…0011010101001000110
3112220021222000012000000
42101021310122221012
510023143432100123
6155333322502130
714155201122516
oct2211164325106
9486258005000
10155857300038
116010a423390
1226258364946
131190ac03c7b
147787655846
1540c2e2ab43
hex2449d1aa46

155857300038 has 112 divisors (see below), whose sum is σ = 382630654656. Its totient is φ = 47199017520.

The previous prime is 155857300031. The next prime is 155857300043. The reversal of 155857300038 is 830003758551.

155857300038 is a `hidden beast` number, since 1 + 5 + 585 + 7 + 30 + 0 + 0 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 155857299966 and 155857300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155857300031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44952781 + ... + 44956247.

Almost surely, 2155857300038 is an apocalyptic number.

155857300038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155857300038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191315327328).

155857300038 is an abundant number, since it is smaller than the sum of its proper divisors (226773354618).

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

155857300038 is a wasteful number, since it uses less digits than its factorization.

155857300038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 155857300038 in words is "one hundred fifty-five billion, eight hundred fifty-seven million, three hundred thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 2803 3467 5346 5606 6934 8019 8409 10401 16038 16818 20802 25227 30833 31203 38137 50454 61666 62406 75681 76274 92499 93609 114411 151362 184998 187218 227043 228822 277497 280827 343233 454086 554994 561654 681129 686466 832491 842481 1029699 1362258 1664982 1684962 2043387 2059398 2497473 2527443 3089097 4086774 4994946 5054886 6178194 7492419 9267291 9718001 14984838 18534582 19436002 22477257 27801873 29154003 44954514 55603746 58308006 87462009 106898011 174924018 213796022 262386027 320694033 524772054 641388066 787158081 962082099 1574316162 1924164198 2361474243 2886246297 4722948486 5772492594 7084422729 8658738891 14168845458 17317477782 25976216673 51952433346 77928650019 155857300038