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12883870146 = 2376114533461
BaseRepresentation
bin10111111111111000…
…00100000111000010
31020020220021102020210
423333330010013002
5202341232321041
65530242014550
7634163042430
oct137774040702
936226242223
1012883870146
115511677374
1225b6947456
1312a4301504
148a3179d50
15506163016
hex2fff041c2

12883870146 has 64 divisors (see below), whose sum is σ = 29960868096. Its totient is φ = 3617222400.

The previous prime is 12883870127. The next prime is 12883870163. The reversal of 12883870146 is 64107838821.

It is a super-2 number, since 2×128838701462 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12883870095 and 12883870104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3720856 + ... + 3724316.

It is an arithmetic number, because the mean of its divisors is an integer number (468138564).

Almost surely, 212883870146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12883870146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980434048).

12883870146 is an abundant number, since it is smaller than the sum of its proper divisors (17076997950).

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

12883870146 is a wasteful number, since it uses less digits than its factorization.

12883870146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987.

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 12883870146 in words is "twelve billion, eight hundred eighty-three million, eight hundred seventy thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1281 1453 2562 2906 3461 4359 6922 8718 10171 10383 20342 20766 24227 30513 48454 61026 72681 88633 145362 177266 211121 265899 422242 531798 620431 633363 1240862 1266726 1477847 1861293 2955694 3722586 4433541 5028833 8867082 10057666 15086499 30172998 35201831 70403662 105605493 211210986 306758813 613517626 920276439 1840552878 2147311691 4294623382 6441935073 12883870146