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642373445376 = 283313219103281
BaseRepresentation
bin10010101100100000111…
…00001110011100000000
32021102002002222002222000
421112100130032130000
541011040100223001
61211034032144000
764260420123435
oct11262034163400
92242062862860
10642373445376
1122847a077243
12a45b5698000
134876365ba00
142313bb5bb8c
1511a99dd2a86
hex959070e700

642373445376 has 864 divisors, whose sum is σ = 2194039411200. Its totient is φ = 184772689920.

The previous prime is 642373445347. The next prime is 642373445381. The reversal of 642373445376 is 673544373246.

642373445376 is a `hidden beast` number, since 6 + 4 + 237 + 34 + 4 + 5 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 2286026356 + ... + 2286026636.

Almost surely, 2642373445376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642373445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097019705600).

642373445376 is an abundant number, since it is smaller than the sum of its proper divisors (1551665965824).

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

642373445376 is a wasteful number, since it uses less digits than its factorization.

642373445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 421 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 54.

The spelling of 642373445376 in words is "six hundred forty-two billion, three hundred seventy-three million, four hundred forty-five thousand, three hundred seventy-six".