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2113781624256 = 26337436919723
BaseRepresentation
bin11110110000100111001…
…100111110110111000000
321111002001002001020120210
4132300213030332313000
5234113011043434011
64255020300034120
7305500323232101
oct36604714766700
97432032036523
102113781624256
117454a46911a5
122a17b9232940
13124437363663
1474443dc03a8
1539eb70b16a6
hex1ec2733edc0

2113781624256 has 112 divisors (see below), whose sum is σ = 5877447492224. Its totient is φ = 669607658496.

The previous prime is 2113781624239. The next prime is 2113781624267. The reversal of 2113781624256 is 6524261873112.

It is a super-3 number, since 3×21137816242563 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3154390 + ... + 3765333.

It is an arithmetic number, because the mean of its divisors is an integer number (52477209752).

Almost surely, 22113781624256 is an apocalyptic number.

It is an amenable number.

2113781624256 is an abundant number, since it is smaller than the sum of its proper divisors (3763665867968).

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

2113781624256 is a wasteful number, since it uses less digits than its factorization.

2113781624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919818 (or 6919808 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 2113781624256 in words is "two trillion, one hundred thirteen billion, seven hundred eighty-one million, six hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 129 148 172 192 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 2368 2752 3182 3552 4128 4773 6364 7104 8256 9546 12728 19092 25456 38184 50912 76368 101824 152736 305472 6919723 13839446 20759169 27678892 41518338 55357784 83036676 110715568 166073352 221431136 256029751 297548089 332146704 442862272 512059502 595096178 664293408 768089253 892644267 1024119004 1190192356 1328586816 1536178506 1785288534 2048238008 2380384712 3072357012 3570577068 4096476016 4760769424 6144714024 7141154136 8192952032 9521538848 11009279293 12289428048 14282308272 16385904064 19043077696 22018558586 24578856096 28564616544 33027837879 44037117172 49157712192 57129233088 66055675758 88074234344 132111351516 176148468688 264222703032 352296937376 528445406064 704593874752 1056890812128 2113781624256