Search a number
-
+
15245046252 = 223210110134139
BaseRepresentation
bin11100011001010110…
…01111000111101100
31110100110020120221200
432030223033013230
5222210212440002
611000430125500
71046533516662
oct161453170754
943313216850
1015245046252
116513481987
122b55650890
13158c545a37
14a489b0c32
155e35bab1c
hex38cacf1ec

15245046252 has 72 divisors (see below), whose sum is σ = 38965464720. Its totient is φ = 5025187200.

The previous prime is 15245046241. The next prime is 15245046253. The reversal of 15245046252 is 25264054251.

15245046252 is a `hidden beast` number, since 1 + 5 + 24 + 5 + 0 + 4 + 625 + 2 = 666.

It is a super-2 number, since 2×152450462522 (a number of 21 digits) contains 22 as substring.

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 (15245046253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3681199 + ... + 3685337.

It is an arithmetic number, because the mean of its divisors is an integer number (541187010).

Almost surely, 215245046252 is an apocalyptic number.

15245046252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15245046252 is an abundant number, since it is smaller than the sum of its proper divisors (23720418468).

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

15245046252 is a wasteful number, since it uses less digits than its factorization.

15245046252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 15245046252 in words is "fifteen billion, two hundred forty-five million, forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1013 1212 1818 2026 3039 3636 4052 4139 6078 8278 9117 12156 12417 16556 18234 24834 36468 37251 49668 74502 102313 149004 204626 306939 409252 418039 613878 836078 920817 1227756 1254117 1672156 1841634 2508234 3683268 3762351 4192807 5016468 7524702 8385614 12578421 15049404 16771228 25156842 37735263 50313684 75470526 150941052 423473507 846947014 1270420521 1693894028 2540841042 3811261563 5081682084 7622523126 15245046252