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354115628028 = 223218235395801
BaseRepresentation
bin1010010011100101110…
…11111010101111111100
31020212000221000202122200
411021302323322233330
521300212100044103
6430402314511500
734404213113541
oct5116273725774
91225027022580
10354115628028
111271a8049628
1258768735590
1327515445c96
14131d42c4bc8
1593285190a3
hex5272efabfc

354115628028 has 36 divisors (see below), whose sum is σ = 895616799168. Its totient is φ = 117973771200.

The previous prime is 354115628021. The next prime is 354115628093. The reversal of 354115628028 is 820826511453.

354115628028 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 1 + 562 + 80 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354115628021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2632273 + ... + 2763528.

Almost surely, 2354115628028 is an apocalyptic number.

It is an amenable number.

354115628028 is an abundant number, since it is smaller than the sum of its proper divisors (541501171140).

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

354115628028 is a wasteful number, since it uses less digits than its factorization.

354115628028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397634 (or 5397629 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 354115628028 in words is "three hundred fifty-four billion, one hundred fifteen million, six hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1823 3646 5469 7292 10938 16407 21876 32814 65628 5395801 10791602 16187403 21583204 32374806 48562209 64749612 97124418 194248836 9836545223 19673090446 29509635669 39346180892 59019271338 88528907007 118038542676 177057814014 354115628028