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352464020480 = 210511132191949
BaseRepresentation
bin1010010000100000111…
…11100010010000000000
31020200202211020102000202
411020100133202100000
521233321242123410
6425530355104332
734315246512305
oct5102037422000
91220684212022
10352464020480
1112652a829410
12583875a20a8
1327311211200
14130b8bd90ac
15927d523ca5
hex52107e2400

352464020480 has 528 divisors, whose sum is σ = 1051879608000. Its totient is φ = 112025272320.

The previous prime is 352464020479. The next prime is 352464020497. The reversal of 352464020480 is 84020464253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180842546 + ... + 180844494.

Almost surely, 2352464020480 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 352464020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525939804000).

352464020480 is an abundant number, since it is smaller than the sum of its proper divisors (699415587520).

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

352464020480 is a wasteful number, since it uses less digits than its factorization.

352464020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 352464020480 in words is "three hundred fifty-two billion, four hundred sixty-four million, twenty thousand, four hundred eighty".