Search a number
-
+
136008331771074 = 23721816174142423
BaseRepresentation
bin11110111011001011101000…
…010011010011110011000010
3122211120021021111020122220220
4132323023220103103303002
5120311330030413133244
61201133210503443510
740435164152125500
oct3673135023236302
9584507244218826
10136008331771074
113a37789a6115a4
12133073ab156596
135ab76b8acb029
142582ba4739670
1510acd4ec14319
hex7bb2e84d3cc2

136008331771074 has 96 divisors (see below), whose sum is σ = 318691524767616. Its totient is φ = 38582187114240.

The previous prime is 136008331771051. The next prime is 136008331771079. The reversal of 136008331771074 is 470177133800631.

It is a happy number.

It is a super-2 number, since 2×1360083317710742 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136008331771079) 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, 30761827 + ... + 34904249.

It is an arithmetic number, because the mean of its divisors is an integer number (3319703382996).

Almost surely, 2136008331771074 is an apocalyptic number.

136008331771074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136008331771074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159345762383808).

136008331771074 is an abundant number, since it is smaller than the sum of its proper divisors (182683192996542).

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

136008331771074 is a wasteful number, since it uses less digits than its factorization.

136008331771074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143240 (or 4143233 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 136008331771074 in words is "one hundred thirty-six trillion, eight billion, three hundred thirty-one million, seven hundred seventy-one thousand, seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 617 1086 1234 1267 1851 2534 3702 3801 4319 7602 8638 8869 12957 17738 25914 26607 30233 53214 60466 90699 111677 181398 223354 335031 670062 781739 1563478 2345217 4142423 4690434 5472173 8284846 10944346 12427269 16416519 24854538 28996961 32833038 57993922 86990883 173981766 202978727 405957454 608936181 749778563 1217872362 1499557126 2249335689 2555874991 4498671378 5111749982 5248449941 7667624973 10496899882 15335249946 15745349823 17891124937 31490699646 35782249874 36739149587 53673374811 73478299174 107346749622 110217448761 125237874559 220434897522 250475749118 375713623677 462613373371 751427247354 925226746742 1387840120113 2775680240226 3238293613597 6476587227194 9714880840791 19429761681582 22668055295179 45336110590358 68004165885537 136008331771074