Search a number
-
+
15065015152 = 2411712574691
BaseRepresentation
bin11100000011111000…
…11110001101110000
31102212220111001201011
432001330132031300
5221323120441102
610530515320304
71042216341655
oct160174361560
942786431634
1015065015152
116430898950
122b052b0094
131561160965
14a2cb09c2c
155d28a82d7
hex381f1e370

15065015152 has 80 divisors (see below), whose sum is σ = 32422996224. Its totient is φ = 6723584000.

The previous prime is 15065015131. The next prime is 15065015177. The reversal of 15065015152 is 25151056051.

15065015152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3209127 + ... + 3213817.

Almost surely, 215065015152 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 15065015152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211498112).

15065015152 is an abundant number, since it is smaller than the sum of its proper divisors (17357981072).

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

15065015152 is a wasteful number, since it uses less digits than its factorization.

15065015152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 15065015152 in words is "fifteen billion, sixty-five million, fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 257 284 514 568 781 1028 1136 1562 2056 2827 3124 4112 4691 5654 6248 9382 11308 12496 18247 18764 22616 36494 37528 45232 51601 72988 75056 103202 145976 200717 206404 291952 333061 401434 412808 666122 802868 825616 1205587 1332244 1605736 2411174 2664488 3211472 3663671 4822348 5328976 7327342 9644696 13261457 14654684 19289392 26522914 29309368 53045828 58618736 85596677 106091656 171193354 212183312 342386708 684773416 941563447 1369546832 1883126894 3766253788 7532507576 15065015152