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148957348512 = 253751943113
BaseRepresentation
bin1000101010111010001…
…1001100001010100000
3112020111002112022220210
42022232203030022200
54420031040123022
6152232520534120
713522205400000
oct2125643141240
9466432468823
10148957348512
11581995a3705
1224a51621340
131107b55a90b
1472d1100000
153d1c2c5a0c
hex22ae8cc2a0

148957348512 has 576 divisors, whose sum is σ = 495702789120. Its totient is φ = 39033114624.

The previous prime is 148957348487. The next prime is 148957348663. The reversal of 148957348512 is 215843759841.

It is a super-2 number, since 2×1489573485122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318206568 + ... + 1318206680.

It is an arithmetic number, because the mean of its divisors is an integer number (860595120).

Almost surely, 2148957348512 is an apocalyptic number.

148957348512 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 148957348512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247851394560).

148957348512 is an abundant number, since it is smaller than the sum of its proper divisors (346745440608).

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

148957348512 is an equidigital number, since it uses as much as digits as its factorization.

148957348512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 148957348512 in words is "one hundred forty-eight billion, nine hundred fifty-seven million, three hundred forty-eight thousand, five hundred twelve".