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13380101156608 = 28372131291437
BaseRepresentation
bin1100001010110100110000…
…1011010010111100000000
31202101010101020212220210121
43002231030023102330000
53223204421344002413
644242422243310024
72550452244205624
oct302551413227400
952333336786717
1013380101156608
11429951831457a
1216011a097b314
13760979878bc4
14343859515184
151830a9146b8d
hexc2b4c2d2f00

13380101156608 has 108 divisors (see below), whose sum is σ = 27658912898232. Its totient is φ = 6459527393280.

The previous prime is 13380101156599. The next prime is 13380101156641. The reversal of 13380101156608 is 80665110108331.

It is a super-2 number, since 2×133801011566082 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45765066 + ... + 46056502.

It is an arithmetic number, because the mean of its divisors is an integer number (256101045354).

Almost surely, 213380101156608 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 13380101156608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829456449116).

13380101156608 is an abundant number, since it is smaller than the sum of its proper divisors (14278811741624).

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

13380101156608 is an equidigital number, since it uses as much as digits as its factorization.

13380101156608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291658 (or 291607 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 13380101156608 in words is "thirteen trillion, three hundred eighty billion, one hundred one million, one hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 131 148 256 262 296 524 592 1048 1184 1369 2096 2368 2738 4192 4736 4847 5476 8384 9472 9694 10952 16768 19388 21904 33536 38776 43808 77552 87616 155104 175232 179339 291437 310208 350464 358678 582874 620416 717356 1165748 1240832 1434712 2331496 2869424 4662992 5738848 9325984 10783169 11477696 18651968 21566338 22955392 37303936 38178247 43132676 45910784 74607872 76356494 86265352 152712988 172530704 305425976 345061408 398977253 610851952 690122816 797954506 1221703904 1380245632 1412595139 1595909012 2443407808 2760491264 2825190278 3191818024 4886815616 5650380556 6383636048 9773631232 11300761112 12767272096 22601522224 25534544192 45203044448 51069088384 52266020143 90406088896 102138176768 104532040286 180812177792 209064080572 361624355584 418128161144 836256322288 1672512644576 3345025289152 6690050578304 13380101156608