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116045016048 = 24321376980611
BaseRepresentation
bin110110000010011010…
…0100110101111110000
3102002112101011121110100
41230010310212233300
53400130011003143
6125151011232400
711245463234643
oct1540464465760
9362471147410
10116045016048
114523a428145
121a5a72a8700
13ac349c7690
14588bd8da5a
153042b736d3
hex1b04d26bf0

116045016048 has 120 divisors (see below), whose sum is σ = 350205936080. Its totient is φ = 35659284480.

The previous prime is 116045016047. The next prime is 116045016071. The reversal of 116045016048 is 840610540611.

116045016048 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 45 + 0 + 1 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116045016047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399263 + ... + 1479873.

Almost surely, 2116045016048 is an apocalyptic number.

116045016048 is a gapful number since it is divisible by the number (18) 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 116045016048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175102968040).

116045016048 is an abundant number, since it is smaller than the sum of its proper divisors (234160920032).

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

116045016048 is a wasteful number, since it uses less digits than its factorization.

116045016048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81407 (or 81398 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 116045016048 its reverse (840610540611), we get a palindrome (956655556659).

The spelling of 116045016048 in words is "one hundred sixteen billion, forty-five million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 769 936 1538 1872 2307 3076 4614 6152 6921 9228 9997 12304 13842 18456 19994 27684 29991 36912 39988 55368 59982 79976 80611 89973 110736 119964 159952 161222 179946 239928 241833 322444 359892 479856 483666 644888 719784 725499 967332 1047943 1289776 1439568 1450998 1934664 2095886 2901996 3143829 3869328 4191772 5803992 6287658 8383544 9431487 11607984 12575316 16767088 18862974 25150632 37725948 50301264 61989859 75451896 123979718 150903792 185969577 247959436 371939154 495918872 557908731 743878308 805868167 991837744 1115817462 1487756616 1611736334 2231634924 2417604501 2975513232 3223472668 4463269848 4835209002 6446945336 7252813503 8926539696 9670418004 12893890672 14505627006 19340836008 29011254012 38681672016 58022508024 116045016048