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63520990038 = 23211195326011
BaseRepresentation
bin111011001010001001…
…010110001101010110
320001221212221122001200
4323022021112031112
52020042333140123
645103043133330
74406052335532
oct731211261526
9201855848050
1063520990038
1124a36a40a90
1210389074246
135cb406574c
143108356bc2
1519bb909143
hexeca256356

63520990038 has 144 divisors (see below), whose sum is σ = 161107652160. Its totient is φ = 17888644800.

The previous prime is 63520990031. The next prime is 63520990073. The reversal of 63520990038 is 83009902536.

63520990038 is a `hidden beast` number, since 6 + 3 + 520 + 9 + 90 + 0 + 38 = 666.

63520990038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63520989975 and 63520990002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63520990031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10564453 + ... + 10570463.

It is an arithmetic number, because the mean of its divisors is an integer number (1118803140).

Almost surely, 263520990038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63520990038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80553826080).

63520990038 is an abundant number, since it is smaller than the sum of its proper divisors (97586662122).

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

63520990038 is a wasteful number, since it uses less digits than its factorization.

63520990038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 63520990038 in words is "sixty-three billion, five hundred twenty million, nine hundred ninety thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 53 57 66 99 106 114 159 171 198 209 318 342 418 477 583 627 954 1007 1166 1254 1749 1881 2014 2809 3021 3498 3762 5247 5618 6011 6042 8427 9063 10494 11077 12022 16854 18033 18126 22154 25281 30899 33231 36066 50562 53371 54099 61798 66121 66462 92697 99693 106742 108198 114209 132242 160113 185394 198363 199386 228418 278091 318583 320226 342627 396726 480339 556182 587081 595089 637166 685254 955749 960678 1027881 1174162 1190178 1256299 1761243 1911498 2055762 2512598 2867247 3504413 3522486 3768897 5283729 5734494 6053077 7008826 7537794 10513239 10567458 11306691 12106154 16884899 18159231 21026478 22613382 31539717 33769798 36318462 50654697 54477693 63079434 66583847 101309394 108955386 133167694 151964091 185733889 199751541 303928182 320813081 371467778 399503082 557201667 599254623 641626162 962439243 1114403334 1198509246 1671605001 1924878486 2887317729 3343210002 3528943891 5774635458 7057887782 10586831673 21173663346 31760495019 63520990038