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149047761960 = 23335138007187
BaseRepresentation
bin1000101011001111110…
…0000101110000101000
3112020201101122210212000
42022303330011300220
54420222211340320
6152245510451000
713524354034026
oct2126374056050
9466641583760
10149047761960
1158235637669
1224a77963a60
13110941c5ab6
1472dd117716
153d251d4c90
hex22b3f05c28

149047761960 has 64 divisors (see below), whose sum is σ = 496825876800. Its totient is φ = 39746069568.

The previous prime is 149047761911. The next prime is 149047761983. The reversal of 149047761960 is 69167740941.

149047761960 is a `hidden beast` number, since 1 + 490 + 4 + 7 + 7 + 61 + 96 + 0 = 666.

149047761960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1490477619603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 149047761897 and 149047761906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69002514 + ... + 69004673.

It is an arithmetic number, because the mean of its divisors is an integer number (7762904325).

Almost surely, 2149047761960 is an apocalyptic number.

149047761960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149047761960 is an abundant number, since it is smaller than the sum of its proper divisors (347778114840).

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

149047761960 is a wasteful number, since it uses less digits than its factorization.

149047761960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138007207 (or 138007197 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 149047761960 in words is "one hundred forty-nine billion, forty-seven million, seven hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 138007187 276014374 414021561 552028748 690035935 828043122 1104057496 1242064683 1380071870 1656086244 2070107805 2484129366 2760143740 3312172488 3726194049 4140215610 4968258732 5520287480 6210323415 7452388098 8280431220 9936517464 12420646830 14904776196 16560862440 18630970245 24841293660 29809552392 37261940490 49682587320 74523880980 149047761960