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148207112640 = 2634559199487
BaseRepresentation
bin1000101000000111010…
…1010001000111000000
3112011112210211101210000
42022001311101013000
54412012010101030
6152030240440000
713464465446256
oct2120165210700
9464483741700
10148207112640
1157944062364
1224882319000
1310c8bcac972
14725d60a5d6
153cc64cd860
hex2281d511c0

148207112640 has 560 divisors, whose sum is σ = 539934912000. Its totient is φ = 38577420288.

The previous prime is 148207112623. The next prime is 148207112671. The reversal of 148207112640 is 46211702841.

It is a happy number.

148207112640 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 0 + 7 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148207112595 and 148207112604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 304326477 + ... + 304326963.

Almost surely, 2148207112640 is an apocalyptic number.

148207112640 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 148207112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269967456000).

148207112640 is an abundant number, since it is smaller than the sum of its proper divisors (391727799360).

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

148207112640 is a wasteful number, since it uses less digits than its factorization.

148207112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 148207112640 in words is "one hundred forty-eight billion, two hundred seven million, one hundred twelve thousand, six hundred forty".