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148998866400 = 253252171979811
BaseRepresentation
bin1000101011000100000…
…1100100010111100000
3112020120222122122202100
42022301001210113200
54420122202211100
6152241002450400
713523221316256
oct2126101442740
9466528578670
10148998866400
115820aa8070a
1224a63503a00
1311087036307
1472d682a5d6
153d20c77400
hex22b10645e0

148998866400 has 864 divisors, whose sum is σ = 593736998400. Its totient is φ = 34936012800.

The previous prime is 148998866399. The next prime is 148998866473. The reversal of 148998866400 is 4668899841.

148998866400 is a `hidden beast` number, since 1 + 4 + 8 + 99 + 88 + 66 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183721995 + ... + 183722805.

It is an arithmetic number, because the mean of its divisors is an integer number (687195600).

Almost surely, 2148998866400 is an apocalyptic number.

148998866400 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 148998866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296868499200).

148998866400 is an abundant number, since it is smaller than the sum of its proper divisors (444738132000).

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

148998866400 is a wasteful number, since it uses less digits than its factorization.

148998866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 148998866400 in words is "one hundred forty-eight billion, nine hundred ninety-eight million, eight hundred sixty-six thousand, four hundred".