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148890351386448 = 24327672843775451
BaseRepresentation
bin100001110110101000111100…
…100000010011111101010000
3201112011210000120211200011100
4201312220330200103331100
5124003404414423331243
61244355141055144400
743234654464154230
oct4166507440237520
9645153016750140
10148890351386448
1143494052881091
1214847b45515100
1365103b8b23769
1428aa48d73bcc0
151232ea68800d3
hex876a3c813f50

148890351386448 has 240 divisors, whose sum is σ = 483491071305216. Its totient is φ = 41890379731200.

The previous prime is 148890351386437. The next prime is 148890351386449. The reversal of 148890351386448 is 844683153098841.

148890351386448 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 9 + 0 + 3 + 513 + 8 + 64 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148890351386449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191617123 + ... + 192392573.

Almost surely, 2148890351386448 is an apocalyptic number.

148890351386448 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 148890351386448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241745535652608).

148890351386448 is an abundant number, since it is smaller than the sum of its proper divisors (334600719918768).

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

148890351386448 is a wasteful number, since it uses less digits than its factorization.

148890351386448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778382 (or 778373 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 148890351386448 in words is "one hundred forty-eight trillion, eight hundred ninety billion, three hundred fifty-one million, three hundred eighty-six thousand, four hundred forty-eight".