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1015245460116 = 223346720129381
BaseRepresentation
bin11101100011000010101…
…10000101001010010100
310121001112012110001011000
432301201112011022110
5113113210314210431
62054221453343300
7133230505011426
oct16614126051224
93531465401130
101015245460116
1136162165a808
12144917797b30
1374977927a64
14371d10c4816
151b61edb49e6
hexec61585294

1015245460116 has 48 divisors (see below), whose sum is σ = 2637754217280. Its totient is φ = 337690478880.

The previous prime is 1015245460109. The next prime is 1015245460127. The reversal of 1015245460116 is 6110645425101.

1015245460116 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 45 + 4 + 601 + 1 + 6 = 666.

It is a super-2 number, since 2×10152454601162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10014255 + ... + 10115126.

It is an arithmetic number, because the mean of its divisors is an integer number (54953212860).

Almost surely, 21015245460116 is an apocalyptic number.

It is an amenable number.

1015245460116 is an abundant number, since it is smaller than the sum of its proper divisors (1622508757164).

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

1015245460116 is a wasteful number, since it uses less digits than its factorization.

1015245460116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20129861 (or 20129853 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1015245460116 in words is "one trillion, fifteen billion, two hundred forty-five million, four hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 467 934 1401 1868 2802 4203 5604 8406 12609 16812 25218 50436 20129381 40258762 60388143 80517524 120776286 181164429 241552572 362328858 543493287 724657716 1086986574 2173973148 9400420927 18800841854 28201262781 37601683708 56402525562 84603788343 112805051124 169207576686 253811365029 338415153372 507622730058 1015245460116