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149857247232 = 213347211419
BaseRepresentation
bin1000101110010000110…
…0000010000000000000
3112022210210211220220000
42023210030002000000
54423401423402412
6152502104520000
713553413404300
oct2134414020000
9468723756800
10149857247232
1158610566960
1225062a80000
1311192b1a174
147378831600
153d712d24dc
hex22e4302000

149857247232 has 840 divisors, whose sum is σ = 569487497040. Its totient is φ = 38831063040.

The previous prime is 149857247209. The next prime is 149857247263. The reversal of 149857247232 is 232742758941.

149857247232 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 572 + 47 + 23 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 357654319 + ... + 357654737.

It is an arithmetic number, because the mean of its divisors is an integer number (677961306).

Almost surely, 2149857247232 is an apocalyptic number.

149857247232 is a gapful number since it is divisible by the number (12) 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 149857247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284743748520).

149857247232 is an abundant number, since it is smaller than the sum of its proper divisors (419630249808).

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

149857247232 is an equidigital number, since it uses as much as digits as its factorization.

149857247232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 442 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 149857247232 in words is "one hundred forty-nine billion, eight hundred fifty-seven million, two hundred forty-seven thousand, two hundred thirty-two".