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11516150420 = 22519271111829
BaseRepresentation
bin10101011100110101…
…01000001010010100
31002201120200001111122
422232122220022110
5142041113303140
65142423023112
7555244443365
oct125632501224
932646601448
1011516150420
11497a626295
12229489aa98
131116b458b8
147b366bb6c
15476047ab5
hex2ae6a8294

11516150420 has 48 divisors (see below), whose sum is σ = 25550918400. Its totient is φ = 4347872640.

The previous prime is 11516150383. The next prime is 11516150431. The reversal of 11516150420 is 2405161511.

It is a self number, because there is not a number n which added to its sum of digits gives 11516150420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47066 + ... + 158894.

It is an arithmetic number, because the mean of its divisors is an integer number (532310800).

Almost surely, 211516150420 is an apocalyptic number.

11516150420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516150420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775459200).

11516150420 is an abundant number, since it is smaller than the sum of its proper divisors (14034767980).

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

11516150420 is a wasteful number, since it uses less digits than its factorization.

11516150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112128 (or 112126 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 11516150420 in words is "eleven billion, five hundred sixteen million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 271 380 542 1084 1355 2710 5149 5420 10298 20596 25745 51490 102980 111829 223658 447316 559145 1118290 2124751 2236580 4249502 8499004 10623755 21247510 30305659 42495020 60611318 121222636 151528295 303056590 575807521 606113180 1151615042 2303230084 2879037605 5758075210 11516150420