Search a number
-
+
10315616436 = 22331815231009
BaseRepresentation
bin10011001101101101…
…11101000010110100
3222121220122121111000
421212312331002310
5132111244211221
64423335243300
7513426202326
oct114666750264
928556577430
1010315616436
114413995344
121bba819530
13c851c5368
146dc03d616
15405953e26
hex266dbd0b4

10315616436 has 96 divisors (see below), whose sum is σ = 26970070400. Its totient is φ = 3409620480.

The previous prime is 10315616411. The next prime is 10315616453. The reversal of 10315616436 is 63461651301.

10315616436 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 6 + 1 + 643 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10315616436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10223100 + ... + 10224108.

Almost surely, 210315616436 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 10315616436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485035200).

10315616436 is an abundant number, since it is smaller than the sum of its proper divisors (16654453964).

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

10315616436 is a wasteful number, since it uses less digits than its factorization.

10315616436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10315616436 in words is "ten billion, three hundred fifteen million, six hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 523 543 724 1009 1046 1086 1569 1629 2018 2092 2172 3027 3138 3258 4036 4707 4887 6054 6276 6516 9081 9414 9774 12108 14121 18162 18828 19548 27243 28242 36324 54486 56484 94663 108972 182629 189326 283989 365258 378652 527707 547887 567978 730516 851967 1055414 1095774 1135956 1583121 1643661 1703934 2110828 2191548 2555901 3166242 3287322 3407868 4749363 4930983 5111802 6332484 6574644 9498726 9861966 10223604 14248089 18997452 19723932 28496178 56992356 95514967 191029934 286544901 382059868 573089802 859634703 1146179604 1719269406 2578904109 3438538812 5157808218 10315616436