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148723481088 = 29327131731673
BaseRepresentation
bin1000101010000010011…
…1000011101000000000
3112012212210110122010100
42022200213003220000
54414041202343323
6152153404202400
713513335505530
oct2124047035000
9465783418110
10148723481088
1158089589646
12249a7239400
1311041c76220
1472ac0234c0
153d069cb943
hex22a09c3a00

148723481088 has 960 divisors, whose sum is σ = 578254989312. Its totient is φ = 35672555520.

The previous prime is 148723481087. The next prime is 148723481149. The reversal of 148723481088 is 880184327841.

148723481088 is a `hidden beast` number, since 1 + 4 + 87 + 2 + 3 + 481 + 0 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (148723481087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220985520 + ... + 220986192.

Almost surely, 2148723481088 is an apocalyptic number.

148723481088 is a gapful number since it is divisible by the number (18) 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 148723481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289127494656).

148723481088 is an abundant number, since it is smaller than the sum of its proper divisors (429531508224).

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

148723481088 is a wasteful number, since it uses less digits than its factorization.

148723481088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 148723481088 in words is "one hundred forty-eight billion, seven hundred twenty-three million, four hundred eighty-one thousand, eighty-eight".