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148940756640 = 253351329109839
BaseRepresentation
bin1000101010110110001…
…1111001011010100000
3112020102221022101011000
42022231203321122200
54420012313203030
6152231125152000
713521614354124
oct2125543713240
9466387271130
10148940756640
11581901a0a15
1224a47b5b600
1311077c9b840
1472ccc21584
153d1aae9860
hex22ad8f96a0

148940756640 has 768 divisors, whose sum is σ = 586776960000. Its totient is φ = 35031564288.

The previous prime is 148940756603. The next prime is 148940756641. The reversal of 148940756640 is 46657049841.

148940756640 is a `hidden beast` number, since 148 + 9 + 407 + 56 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (148940756641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177521341 + ... + 177522179.

It is an arithmetic number, because the mean of its divisors is an integer number (764032500).

Almost surely, 2148940756640 is an apocalyptic number.

148940756640 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 148940756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293388480000).

148940756640 is an abundant number, since it is smaller than the sum of its proper divisors (437836203360).

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

148940756640 is a wasteful number, since it uses less digits than its factorization.

148940756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 148940756640 in words is "one hundred forty-eight billion, nine hundred forty million, seven hundred fifty-six thousand, six hundred forty".