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148386907872 = 2532773604617
BaseRepresentation
bin1000101000110010001…
…1001000011011100000
3112012000100010221110200
42022030203020123200
54412344022022442
6152100142225200
713502110622520
oct2121443103340
9465010127420
10148386907872
1157a265a5165
1224912585200
1310cba311588
14727944d680
153cd719634c
hex228c8c86e0

148386907872 has 72 divisors (see below), whose sum is σ = 482257457136. Its totient is φ = 42396258816.

The previous prime is 148386907871. The next prime is 148386907909. The reversal of 148386907872 is 278709683841.

148386907872 is a `hidden beast` number, since 1 + 483 + 86 + 9 + 0 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148386907871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36800293 + ... + 36804324.

It is an arithmetic number, because the mean of its divisors is an integer number (6698020238).

Almost surely, 2148386907872 is an apocalyptic number.

148386907872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148386907872 is an abundant number, since it is smaller than the sum of its proper divisors (333870549264).

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

148386907872 is a wasteful number, since it uses less digits than its factorization.

148386907872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73604640 (or 73604629 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 148386907872 in words is "one hundred forty-eight billion, three hundred eighty-six million, nine hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 73604617 147209234 220813851 294418468 441627702 515232319 588836936 662441553 883255404 1030464638 1177673872 1324883106 1545696957 1766510808 2060929276 2355347744 2649766212 3091393914 3533021616 4121858552 4637090871 5299532424 6182787828 7066043232 8243717104 9274181742 10599064848 12365575656 16487434208 18548363484 21198129696 24731151312 37096726968 49462302624 74193453936 148386907872