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63050660040 = 23351514677451
BaseRepresentation
bin111010101110000111…
…001011100011001000
320000202002221101121010
4322232013023203020
52013111432110130
644544242243520
74361311524204
oct725607134310
9200662841533
1063050660040
11248154aa105
12102776565a0
135c3a79b384
1430a1ac5b04
1519904a20b0
hexeae1cb8c8

63050660040 has 128 divisors (see below), whose sum is σ = 190837969920. Its totient is φ = 16664160000.

The previous prime is 63050660021. The next prime is 63050660053. The reversal of 63050660040 is 4006605036.

63050660040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8458315 + ... + 8465765.

It is an arithmetic number, because the mean of its divisors is an integer number (1490921640).

Almost surely, 263050660040 is an apocalyptic number.

63050660040 is a gapful number since it is divisible by the number (60) 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 63050660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95418984960).

63050660040 is an abundant number, since it is smaller than the sum of its proper divisors (127787309880).

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

63050660040 is a wasteful number, since it uses less digits than its factorization.

63050660040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 63050660040 in words is "sixty-three billion, fifty million, six hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 467 604 755 906 934 1208 1401 1510 1812 1868 2265 2335 2802 3020 3624 3736 4530 4670 5604 6040 7005 7451 9060 9340 11208 14010 14902 18120 18680 22353 28020 29804 37255 44706 56040 59608 70517 74510 89412 111765 141034 149020 178824 211551 223530 282068 298040 352585 423102 447060 564136 705170 846204 894120 1057755 1125101 1410340 1692408 2115510 2250202 2820680 3375303 3479617 4231020 4500404 5625505 6750606 6959234 8462040 9000808 10438851 11251010 13501212 13918468 16876515 17398085 20877702 22502020 27002424 27836936 33753030 34796170 41755404 45004040 52194255 67506060 69592340 83510808 104388510 135012120 139184680 208777020 417554040 525422167 1050844334 1576266501 2101688668 2627110835 3152533002 4203377336 5254221670 6305066004 7881332505 10508443340 12610132008 15762665010 21016886680 31525330020 63050660040