Search a number
-
+
16157258712 = 2332771944587
BaseRepresentation
bin11110000110000110…
…00011001111011000
31112201000201210012100
433003003003033120
5231042224234322
611231134043400
71111251301350
oct170303031730
945630653170
1016157258712
116941395681
12316b049560
1316a652701a
14ad3bc9b60
1564870adac
hex3c30c33d8

16157258712 has 96 divisors (see below), whose sum is σ = 50081241600. Its totient is φ = 4609835712.

The previous prime is 16157258693. The next prime is 16157258713. The reversal of 16157258712 is 21785275161.

16157258712 is a `hidden beast` number, since 1 + 6 + 1 + 57 + 2 + 587 + 12 = 666.

It is a super-2 number, since 2×161572587122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16157258713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340083 + ... + 384669.

It is an arithmetic number, because the mean of its divisors is an integer number (521679600).

Almost surely, 216157258712 is an apocalyptic number.

16157258712 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 16157258712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25040620800).

16157258712 is an abundant number, since it is smaller than the sum of its proper divisors (33923982888).

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

16157258712 is a wasteful number, since it uses less digits than its factorization.

16157258712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45325 (or 45318 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 16157258712 in words is "sixteen billion, one hundred fifty-seven million, two hundred fifty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 719 1438 2157 2876 4314 5033 5752 6471 8628 10066 12942 15099 17256 20132 25884 30198 40264 44587 45297 51768 60396 89174 90594 120792 133761 178348 181188 267522 312109 356696 362376 401283 535044 624218 802566 936327 1070088 1248436 1605132 1872654 2496872 2808981 3210264 3745308 5617962 7490616 11235924 22471848 32058053 64116106 96174159 128232212 192348318 224406371 256464424 288522477 384696636 448812742 577044954 673219113 769393272 897625484 1154089908 1346438226 1795250968 2019657339 2308179816 2692876452 4039314678 5385752904 8078629356 16157258712