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149515545600 = 21033521991087
BaseRepresentation
bin1000101100111111010…
…0100010110000000000
3112021220222212200101000
42023033310202300000
54422201434424400
6152404141012000
713542064111521
oct2131764426000
9467828780330
10149515545600
115845569a413
1224b88554000
131113a0ab155
1473452c4848
153d512d7600
hex22cfd22c00

149515545600 has 528 divisors, whose sum is σ = 552329728000. Its totient is φ = 39633960960.

The previous prime is 149515545563. The next prime is 149515545629. The reversal of 149515545600 is 6545515941.

149515545600 is a `hidden beast` number, since 1 + 4 + 95 + 1 + 554 + 5 + 6 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137548257 + ... + 137549343.

Almost surely, 2149515545600 is an apocalyptic number.

149515545600 is a gapful number since it is divisible by the number (10) 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 149515545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276164864000).

149515545600 is an abundant number, since it is smaller than the sum of its proper divisors (402814182400).

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

149515545600 is a wasteful number, since it uses less digits than its factorization.

149515545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 149515545600 in words is "one hundred forty-nine billion, five hundred fifteen million, five hundred forty-five thousand, six hundred".