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13299700376832 = 28337547855641
BaseRepresentation
bin1100000110001001001111…
…1010101010010100000000
31202002102211222122010022020
43001202103322222110000
53220400241244024312
644141444211441440
72541604654644102
oct301422372522400
952072758563266
1013299700376832
11426840a15a741
1215a96a28b6280
137562056bb8bc
1433d9cd451572
15180e508ad78c
hexc1893eaa500

13299700376832 has 144 divisors (see below), whose sum is σ = 36419765132352. Its totient is φ = 4305525719040.

The previous prime is 13299700376819. The next prime is 13299700376839. The reversal of 13299700376832 is 23867300799231.

It is a super-2 number, since 2×132997003768322 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13299700376839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15115732 + ... + 15971372.

Almost surely, 213299700376832 is an apocalyptic number.

13299700376832 is a gapful number since it is divisible by the number (12) 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 13299700376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209882566176).

13299700376832 is an abundant number, since it is smaller than the sum of its proper divisors (23120064755520).

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

13299700376832 is an equidigital number, since it uses as much as digits as its factorization.

13299700376832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856244 (or 856230 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 13299700376832 in words is "thirteen trillion, two hundred ninety-nine billion, seven hundred million, three hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 547 592 768 888 1094 1184 1641 1776 2188 2368 3282 3552 4376 4736 6564 7104 8752 9472 13128 14208 17504 20239 26256 28416 35008 40478 52512 60717 70016 80956 105024 121434 140032 161912 210048 242868 323824 420096 485736 647648 855641 971472 1295296 1711282 1942944 2566923 2590592 3422564 3885888 5133846 5181184 6845128 7771776 10267692 13690256 15543552 20535384 27380512 31658717 41070768 54761024 63317434 82141536 94976151 109522048 126634868 164283072 189952302 219044096 253269736 328566144 379904604 468035627 506539472 657132288 759809208 936071254 1013078944 1404106881 1519618416 1872142508 2026157888 2808213762 3039236832 3744285016 4052315776 5616427524 6078473664 7488570032 8104631552 11232855048 12156947328 14977140064 17317318199 22465710096 24313894656 29954280128 34634636398 44931420192 51951954597 59908560256 69269272796 89862840384 103903909194 119817120512 138538545592 179725680768 207807818388 277077091184 359451361536 415615636776 554154182368 831231273552 1108308364736 1662462547104 2216616729472 3324925094208 4433233458944 6649850188416 13299700376832