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149046884352 = 21137107311
BaseRepresentation
bin1000101011001111100…
…0101111100000000000
3112020201100000020000000
42022303320233200000
54420222000244402
6152245440000000
713524343420302
oct2126370574000
9466640006000
10149046884352
1158235098273
1224a77600000
1311093c794c2
1472dcd69972
153d250aec1c
hex22b3e2f800

149046884352 has 384 divisors, whose sum is σ = 452591193600. Its totient is φ = 49059717120.

The previous prime is 149046884351. The next prime is 149046884387. The reversal of 149046884352 is 253488640941.

149046884352 is a `hidden beast` number, since 1 + 4 + 90 + 46 + 88 + 435 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149046884351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479250277 + ... + 479250587.

It is an arithmetic number, because the mean of its divisors is an integer number (1178622900).

Almost surely, 2149046884352 is an apocalyptic number.

149046884352 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 149046884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226295596800).

149046884352 is an abundant number, since it is smaller than the sum of its proper divisors (303544309248).

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

149046884352 is an frugal number, since it uses more digits than its factorization.

149046884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 149046884352 in words is "one hundred forty-nine billion, forty-six million, eight hundred eighty-four thousand, three hundred fifty-two".