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352346253021345 = 351173320431142591
BaseRepresentation
bin101000000011101010000000…
…1001111111101000010100001
31201012112222021012002122220210
41100013110001033331002201
5332140320111233140340
63245213344542324333
7134134114420635432
oct12007240117750241
91635488235078823
10352346253021345
11a22a5230201170
12336270932896a9
131217b155898a2b
146301914873489
152ab05045a9180
hex14075013fd0a1

352346253021345 has 64 divisors (see below), whose sum is σ = 615877854363648. Its totient is φ = 170591938272000.

The previous prime is 352346253021317. The next prime is 352346253021377. The reversal of 352346253021345 is 543120352643253.

It is a happy number.

It is not a de Polignac number, because 352346253021345 - 28 = 352346253021089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 352346253021294 and 352346253021303.

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, 2470956000 + ... + 2471098590.

It is an arithmetic number, because the mean of its divisors is an integer number (9623091474432).

Almost surely, 2352346253021345 is an apocalyptic number.

It is an amenable number.

352346253021345 is a deficient number, since it is larger than the sum of its proper divisors (263531601342303).

352346253021345 is a wasteful number, since it uses less digits than its factorization.

352346253021345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163774.

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 352346253021345 in words is "three hundred fifty-two trillion, three hundred forty-six billion, two hundred fifty-three million, twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 733 2199 3665 8063 10995 20431 24189 40315 61293 102155 120945 142591 224741 306465 427773 674223 712955 1123705 1568501 2138865 3371115 4705503 7842505 14975923 23527515 44927769 74879615 104519203 164735153 224638845 313557609 494205459 522596015 823675765 1149711233 1567788045 2471027295 2913276721 3449133699 5748556165 8739830163 14566383605 17245668495 32046043931 43699150815 96138131793 160230219655 480690658965 2135431836493 6406295509479 10677159182465 23489750201423 32031477547395 70469250604269 117448751007115 352346253021345