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148700784960 = 26345713232741
BaseRepresentation
bin1000101001111101000…
…0011110100101000000
3112012211012202112220000
42022133100132211000
54414014400104320
6152151233520000
713512641550210
oct2123720364500
9465735675800
10148700784960
1158077797712
122499b713000
131103a35a870
1472a8dd6240
153d049e6c90
hex229f41e940

148700784960 has 1120 divisors, whose sum is σ = 679574472192. Its totient is φ = 29999185920.

The previous prime is 148700784959. The next prime is 148700784971. The reversal of 148700784960 is 69487007841.

It is a happy number.

148700784960 is a `hidden beast` number, since 1 + 4 + 87 + 0 + 0 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×1487007849602 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 148700784897 and 148700784906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54249190 + ... + 54251930.

Almost surely, 2148700784960 is an apocalyptic number.

148700784960 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 148700784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339787236096).

148700784960 is an abundant number, since it is smaller than the sum of its proper divisors (530873687232).

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

148700784960 is a wasteful number, since it uses less digits than its factorization.

148700784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 148700784960 in words is "one hundred forty-eight billion, seven hundred million, seven hundred eighty-four thousand, nine hundred sixty".