Search a number
-
+
132166979028 = 2232710922321577
BaseRepresentation
bin111101100010111000…
…1000000110111010100
3110122010221111012000100
41323011301000313110
54131134221312103
6140414445014100
712356135533320
oct1730561006724
9418127435010
10132166979028
11510628a5597
1221746554330
13c603b14146
14657b1cc980
15368820b5a3
hex1ec5c40dd4

132166979028 has 144 divisors (see below), whose sum is σ = 387064437760. Its totient is φ = 37246044672.

The previous prime is 132166979023. The next prime is 132166979033. The reversal of 132166979028 is 820979661231.

It is an interprime number because it is at equal distance from previous prime (132166979023) and next prime (132166979033).

It is a super-2 number, since 2×1321669790282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132166979023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6114576 + ... + 6136152.

Almost surely, 2132166979028 is an apocalyptic number.

132166979028 is a gapful number since it is divisible by the number (18) 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 132166979028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193532218880).

132166979028 is an abundant number, since it is smaller than the sum of its proper divisors (254897458732).

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

132166979028 is a wasteful number, since it uses less digits than its factorization.

132166979028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21926 (or 21921 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 132166979028 in words is "one hundred thirty-two billion, one hundred sixty-six million, nine hundred seventy-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 223 252 327 436 446 654 669 763 892 981 1308 1338 1526 1561 1962 2007 2289 2676 3052 3122 3924 4014 4578 4683 6244 6867 8028 9156 9366 13734 14049 18732 21577 24307 27468 28098 43154 48614 56196 64731 72921 86308 97228 129462 145842 151039 170149 194193 218763 258924 291684 302078 340298 388386 437526 453117 510447 604156 680596 776772 875052 906234 1020894 1359351 1531341 1812468 2041788 2351893 2718702 3062682 4703786 4811671 5437404 6125364 7055679 9407572 9623342 14111358 14435013 16463251 19246684 21167037 28222716 28870026 32926502 33681697 42334074 43305039 49389753 57740052 65853004 67363394 84668148 86610078 98779506 101045091 134726788 148169259 173220156 197559012 202090182 296338518 303135273 404180364 524472139 592677036 606270546 1048944278 1212541092 1573416417 2097888556 3146832834 3671304973 4720249251 6293665668 7342609946 9440498502 11013914919 14685219892 18880997004 22027829838 33041744757 44055659676 66083489514 132166979028