Search a number
-
+
27157001676 = 2237359111829
BaseRepresentation
bin11001010010101011…
…101111010111001100
32121002121200121211220
4121102223233113030
5421104143023201
620250432443340
71650655464000
oct312253572714
977077617756
1027157001676
1110576468342
12531a9a9550
13273a39167c
141458a30700
15a8e249036
hex652aef5cc

27157001676 has 96 divisors (see below), whose sum is σ = 75149760000. Its totient is φ = 7627564224.

The previous prime is 27157001671. The next prime is 27157001699. The reversal of 27157001676 is 67610075172.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27157001671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186930 + ... + 298758.

It is an arithmetic number, because the mean of its divisors is an integer number (782810000).

Almost surely, 227157001676 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 27157001676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37574880000).

27157001676 is an abundant number, since it is smaller than the sum of its proper divisors (47992758324).

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

27157001676 is a wasteful number, since it uses less digits than its factorization.

27157001676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111916 (or 111900 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 27157001676 in words is "twenty-seven billion, one hundred fifty-seven million, one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 343 354 413 588 686 708 826 1029 1239 1372 1652 2058 2478 2891 4116 4956 5782 8673 11564 17346 20237 34692 40474 60711 80948 111829 121422 223658 242844 335487 447316 670974 782803 1341948 1565606 2348409 3131212 4696818 5479621 6597911 9393636 10959242 13195822 16438863 19793733 21918484 26391644 32877726 38357347 39587466 46185377 65755452 76714694 79174932 92370754 115072041 138556131 153429388 184741508 230144082 277112262 323297639 460288164 554224524 646595278 969892917 1293190556 1939785834 2263083473 3879571668 4526166946 6789250419 9052333892 13578500838 27157001676