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7421860116 = 22331120033119
BaseRepresentation
bin1101110100110000…
…01001100100010100
3201011020112120002000
412322120021210110
5110144444010431
63224244115300
7351630525066
oct67230114424
921136476060
107421860116
1131694a03a0
121531695b30
1391382c508
145059b1736
152d68999e6
hex1ba609914

7421860116 has 96 divisors (see below), whose sum is σ = 21008332800. Its totient is φ = 2247204960.

The previous prime is 7421860109. The next prime is 7421860169. The reversal of 7421860116 is 6110681247.

It is a happy number.

7421860116 is a `hidden beast` number, since 7 + 42 + 1 + 8 + 601 + 1 + 6 = 666.

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

It is a congruent number.

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, 2378005 + ... + 2381123.

It is an arithmetic number, because the mean of its divisors is an integer number (218836800).

Almost surely, 27421860116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7421860116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10504166400).

7421860116 is an abundant number, since it is smaller than the sum of its proper divisors (13586472684).

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

7421860116 is a wasteful number, since it uses less digits than its factorization.

7421860116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7421860116 is about 86150.2183166125. The cubic root of 7421860116 is about 1950.6121344489.

The spelling of 7421860116 in words is "seven billion, four hundred twenty-one million, eight hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2003 3119 4006 6009 6238 8012 9357 12018 12476 18027 18714 22033 24036 28071 34309 36054 37428 44066 54081 56142 66099 68618 72108 84213 88132 102927 108162 112284 132198 137236 168426 198297 205854 216324 264396 308781 336852 396594 411708 594891 617562 793188 926343 1189782 1235124 1852686 2379564 3705372 6247357 12494714 18742071 24989428 37484142 56226213 68720927 74968284 112452426 137441854 168678639 206162781 224904852 274883708 337357278 412325562 618488343 674714556 824651124 1236976686 1855465029 2473953372 3710930058 7421860116