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148915609920 = 26355721121719
BaseRepresentation
bin1000101010110000001…
…1111110000101000000
3112020101011222210100000
42022230003332011000
54414434344004140
6152224430200000
713521160541100
oct2125403760500
9466334883300
10148915609920
1158177a85900
1224a3b653000
1311072a0591c
1472c9757200
153d187cda30
hex22ac0fe140

148915609920 has 3024 divisors, whose sum is σ = 756981650880. Its totient is φ = 27590492160.

The previous prime is 148915609907. The next prime is 148915609933. The reversal of 148915609920 is 29906519841.

148915609920 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 1 + 5 + 609 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (148915609907) and next prime (148915609933).

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7837663671 + ... + 7837663689.

It is an arithmetic number, because the mean of its divisors is an integer number (250324620).

Almost surely, 2148915609920 is an apocalyptic number.

148915609920 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 148915609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378490825440).

148915609920 is an abundant number, since it is smaller than the sum of its proper divisors (608066040960).

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

148915609920 is a wasteful number, since it uses less digits than its factorization.

148915609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 148915609920 in words is "one hundred forty-eight billion, nine hundred fifteen million, six hundred nine thousand, nine hundred twenty".