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346713127714456 = 232371107248033497
BaseRepresentation
bin100111011010101010111000…
…0110100001111111010011000
31200110121110012000000112120021
41032311111300310033322120
5330421021441143330311
63225221451221240224
7133013124342600436
oct11665256064177230
91613543160015507
10346713127714456
11a0523236890828
1232a773b0b63074
1311b5cba5166379
14618900d6d7d56
152a13c0dd49171
hex13b5570d0fe98

346713127714456 has 64 divisors (see below), whose sum is σ = 694335052961280. Its totient is φ = 161955951548160.

The previous prime is 346713127714451. The next prime is 346713127714529. The reversal of 346713127714456 is 654417721317643.

It is a junction number, because it is equal to n+sod(n) for n = 346713127714394 and 346713127714403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346713127714451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122618901 + ... + 125414596.

It is an arithmetic number, because the mean of its divisors is an integer number (10848985202520).

Almost surely, 2346713127714456 is an apocalyptic number.

It is an amenable number.

346713127714456 is an abundant number, since it is smaller than the sum of its proper divisors (347621925246824).

346713127714456 is a wasteful number, since it uses less digits than its factorization.

346713127714456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248033704 (or 248033700 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 61.

The spelling of 346713127714456 in words is "three hundred forty-six trillion, seven hundred thirteen billion, one hundred twenty-seven million, seven hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 23 46 71 92 107 142 184 214 284 428 568 856 1633 2461 3266 4922 6532 7597 9844 13064 15194 19688 30388 60776 174731 349462 698924 1397848 248033497 496066994 992133988 1984267976 5704770431 11409540862 17610378287 22819081724 26539584179 35220756574 45638163448 53079168358 70441513148 106158336716 140883026296 212316673432 405038700601 610410436117 810077401202 1220820872234 1620154802404 1884310476709 2441641744468 3240309604808 3768620953418 4883283488936 7537241906836 15074483813672 43339140964307 86678281928614 173356563857228 346713127714456