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148892470272 = 21033713233183
BaseRepresentation
bin1000101010101010101…
…1101100110000000000
3112020022120110011201000
42022222223230300000
54414412433022042
6152222242212000
713520460054420
oct2125253546000
9466276404630
10148892470272
1158165a10727
1224a33954000
131106ac93420
1472c6652480
153d1675c74c
hex22aaaecc00

148892470272 has 1408 divisors, whose sum is σ = 591611166720. Its totient is φ = 35911434240.

The previous prime is 148892470247. The next prime is 148892470291. The reversal of 148892470272 is 272074298841.

148892470272 is a `hidden beast` number, since 1 + 4 + 88 + 92 + 470 + 2 + 7 + 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 127 ways as a sum of consecutive naturals, for example, 1793885143 + ... + 1793885225.

Almost surely, 2148892470272 is an apocalyptic number.

148892470272 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 148892470272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295805583360).

148892470272 is an abundant number, since it is smaller than the sum of its proper divisors (442718696448).

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

148892470272 is a wasteful number, since it uses less digits than its factorization.

148892470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 148892470272 in words is "one hundred forty-eight billion, eight hundred ninety-two million, four hundred seventy thousand, two hundred seventy-two".