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149985936408 = 23371181161221
BaseRepresentation
bin1000101110101111011…
…0111100010000011000
3112100010210000000020210
42023223312330100120
54424132344431113
6152522543051120
713556535265350
oct2135366742030
9470123000223
10149985936408
1158677172a50
1225099ba0aa0
13111b36970c9
14738b96db60
153d7c7526c3
hex22ebdbc418

149985936408 has 64 divisors (see below), whose sum is σ = 467488638720. Its totient is φ = 38957385600.

The previous prime is 149985936383. The next prime is 149985936421. The reversal of 149985936408 is 804639589941.

149985936408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1499859364082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40578763 + ... + 40582458.

It is an arithmetic number, because the mean of its divisors is an integer number (7304509980).

Almost surely, 2149985936408 is an apocalyptic number.

It is an amenable number.

149985936408 is an abundant number, since it is smaller than the sum of its proper divisors (317502702312).

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

149985936408 is a wasteful number, since it uses less digits than its factorization.

149985936408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81161248 (or 81161244 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 149985936408 in words is "one hundred forty-nine billion, nine hundred eighty-five million, nine hundred thirty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 81161221 162322442 243483663 324644884 486967326 568128547 649289768 892773431 973934652 1136257094 1704385641 1785546862 1947869304 2272514188 2678320293 3408771282 3571093724 4545028376 5356640586 6249414017 6817542564 7142187448 10713281172 12498828034 13635085128 18748242051 21426562344 24997656068 37496484102 49995312136 74992968204 149985936408