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2012883136 = 261110128309
BaseRepresentation
bin111011111111010…
…0010100011000000
312012021121001120021
41313332202203000
513110244230021
6531423023224
7100611136645
oct16776424300
95167531507
102012883136
11943246990
1248213ab14
13261038314
1415148ddcc
15bbaa9c41
hex77fa28c0

2012883136 has 56 divisors (see below), whose sum is σ = 4400732880. Its totient is φ = 905856000.

The previous prime is 2012883133. The next prime is 2012883137. The reversal of 2012883136 is 6313882102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2012883133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56950 + ... + 85258.

Almost surely, 22012883136 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 2012883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200366440).

2012883136 is an abundant number, since it is smaller than the sum of its proper divisors (2387849744).

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

2012883136 is a wasteful number, since it uses less digits than its factorization.

2012883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433 (or 28423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2012883136 is about 44865.1661759989. The cubic root of 2012883136 is about 1262.6205508650.

The spelling of 2012883136 in words is "two billion, twelve million, eight hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 1111 1616 2222 3232 4444 6464 8888 17776 28309 35552 56618 71104 113236 226472 311399 452944 622798 905888 1245596 1811776 2491192 2859209 4982384 5718418 9964768 11436836 19929536 22873672 31451299 45747344 62902598 91494688 125805196 182989376 251610392 503220784 1006441568 2012883136