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15084290196 = 223217137179909
BaseRepresentation
bin11100000110001100…
…00000000010010100
31102221020202100002200
432003012000002110
5221343034241241
610532444404500
71042542231303
oct160306000224
942836670080
1015084290196
116440763538
122b0b846730
13156514c101
14a314c643a
155d44144b6
hex383180094

15084290196 has 72 divisors (see below), whose sum is σ = 40667576040. Its totient is φ = 4697757696.

The previous prime is 15084290141. The next prime is 15084290201. The reversal of 15084290196 is 69109248051.

15084290196 is a `hidden beast` number, since 1 + 508 + 42 + 90 + 19 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4040382096 + 11043908100 = 63564^2 + 105090^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111 + ... + 173798.

It is an arithmetic number, because the mean of its divisors is an integer number (564827445).

Almost surely, 215084290196 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 15084290196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333788020).

15084290196 is an abundant number, since it is smaller than the sum of its proper divisors (25583285844).

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

15084290196 is a wasteful number, since it uses less digits than its factorization.

15084290196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180073 (or 180068 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 15084290196 in words is "fifteen billion, eighty-four million, two hundred ninety thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2329 2466 4658 4932 6987 9316 13974 20961 27948 41922 83844 179909 359818 539727 719636 1079454 1619181 2158908 3058453 3238362 6116906 6476724 9175359 12233812 18350718 24647533 27526077 36701436 49295066 55052154 73942599 98590132 110104308 147885198 221827797 295770396 419008061 443655594 838016122 887311188 1257024183 1676032244 2514048366 3771072549 5028096732 7542145098 15084290196