Search a number
-
+
15150155652 = 2233896912281
BaseRepresentation
bin11100001110000010…
…10000011110000100
31110002211200122112000
432013001100132010
5222011414440102
610543200225300
71044302125002
oct160701203604
943084618460
1015150155652
1164749601a5
122b2990b230
1315759a0a58
14a3a14da72
155da0c501c
hex387050784

15150155652 has 96 divisors (see below), whose sum is σ = 39794428800. Its totient is φ = 4983897600.

The previous prime is 15150155651. The next prime is 15150155663. The reversal of 15150155652 is 25655105151.

15150155652 is a `hidden beast` number, since 1 + 5 + 1 + 50 + 1 + 556 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (15150155651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6640752 + ... + 6643032.

It is an arithmetic number, because the mean of its divisors is an integer number (414525300).

Almost surely, 215150155652 is an apocalyptic number.

15150155652 is a gapful number since it is divisible by the number (12) 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 15150155652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897214400).

15150155652 is an abundant number, since it is smaller than the sum of its proper divisors (24644273148).

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

15150155652 is a wasteful number, since it uses less digits than its factorization.

15150155652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 15150155652 in words is "fifteen billion, one hundred fifty million, one hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 691 801 1068 1382 1602 2073 2281 2403 2764 3204 4146 4562 4806 6219 6843 8292 9124 9612 12438 13686 18657 20529 24876 27372 37314 41058 61499 61587 74628 82116 122998 123174 184497 203009 245996 246348 368994 406018 553491 609027 737988 812036 1106982 1218054 1576171 1660473 1827081 2213964 2436108 3152342 3320946 3654162 4728513 5481243 6304684 6641892 7308324 9457026 10962486 14185539 18914052 21924972 28371078 42556617 56742156 85113234 140279219 170226468 280558438 420837657 561116876 841675314 1262512971 1683350628 2525025942 3787538913 5050051884 7575077826 15150155652