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148190434560 = 2832573749667
BaseRepresentation
bin1000101000000011010…
…1101001010100000000
3112011111122110001202100
42022000311221110000
54411443222401220
6152024443150400
713464203624160
oct2120065512400
9464448401670
10148190434560
1157935700923
1224878815400
1310c886c058c
14725b3085a0
153cc4cd6d90
hex2280d69500

148190434560 has 432 divisors, whose sum is σ = 601818811776. Its totient is φ = 32955973632.

The previous prime is 148190434541. The next prime is 148190434573. The reversal of 148190434560 is 65434091841.

148190434560 is a `hidden beast` number, since 1 + 4 + 8 + 190 + 4 + 3 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2958847 + ... + 3008513.

Almost surely, 2148190434560 is an apocalyptic number.

148190434560 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 148190434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300909405888).

148190434560 is an abundant number, since it is smaller than the sum of its proper divisors (453628377216).

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

148190434560 is a wasteful number, since it uses less digits than its factorization.

148190434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49738 (or 49721 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 148190434560 in words is "one hundred forty-eight billion, one hundred ninety million, four hundred thirty-four thousand, five hundred sixty".