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424063708992 = 26377311273
BaseRepresentation
bin1100010101111000010…
…10101010111101000000
31111112120201200110000000
412022330022222331000
523421440302141432
6522451233000000
742431460024000
oct6127412527500
91445521613000
10424063708992
111539319aa100
126a22a0b3000
1330cb1bb28c1
141674c064000
15b06e2c157c
hex62bc2aaf40

424063708992 has 1344 divisors, whose sum is σ = 1639913408000. Its totient is φ = 108637562880.

The previous prime is 424063708967. The next prime is 424063709033. The reversal of 424063708992 is 299807360424.

424063708992 is a `hidden beast` number, since 4 + 2 + 406 + 3 + 70 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5809091868 + ... + 5809091940.

Almost surely, 2424063708992 is an apocalyptic number.

424063708992 is a gapful number since it is divisible by the number (42) 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 424063708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819956704000).

424063708992 is an abundant number, since it is smaller than the sum of its proper divisors (1215849699008).

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

424063708992 is an frugal number, since it uses more digits than its factorization.

424063708992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 424063708992 in words is "four hundred twenty-four billion, sixty-three million, seven hundred eight thousand, nine hundred ninety-two".