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642373148760 = 2335710930722853
BaseRepresentation
bin10010101100100000110…
…11000110000001011000
32021102002002102001002020
421112100123012001120
541011040011230020
61211034021534440
764260414446610
oct11262033060130
92242062361066
10642373148760
11228479994402
12a45b5574420
13487635869b5
142313bac1a40
1511a99d74c40
hex95906c6058

642373148760 has 256 divisors, whose sum is σ = 2229965337600. Its totient is φ = 145000876032.

The previous prime is 642373148743. The next prime is 642373148771. The reversal of 642373148760 is 67841373246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28097494 + ... + 28120346.

It is an arithmetic number, because the mean of its divisors is an integer number (8710802100).

Almost surely, 2642373148760 is an apocalyptic number.

642373148760 is a gapful number since it is divisible by the number (60) 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 642373148760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114982668800).

642373148760 is an abundant number, since it is smaller than the sum of its proper divisors (1587592188840).

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

642373148760 is a wasteful number, since it uses less digits than its factorization.

642373148760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23290 (or 23286 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 642373148760 in words is "six hundred forty-two billion, three hundred seventy-three million, one hundred forty-eight thousand, seven hundred sixty".