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611682313082352 = 243171718034363199
BaseRepresentation
bin1000101100010100100110001…
…0111111001001010111110000
32222012210020222002222201222120
42023011021202333021113300
51120133300334122113402
610004534550401234240
7242561405641112451
oct21305114277112760
92865706862881876
10611682313082352
111679a0015234536
1258730169032980
1320340518c98965
14ab09820ad9128
154aab3d9cbb3bc
hex22c5262fc95f0

611682313082352 has 80 divisors (see below), whose sum is σ = 1673141154969600. Its totient is φ = 191899172555776.

The previous prime is 611682313082333. The next prime is 611682313082353. The reversal of 611682313082352 is 253280313286116.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 611682313082295 and 611682313082304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611682313082353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138009649 + ... + 142372847.

It is an arithmetic number, because the mean of its divisors is an integer number (20914264437120).

Almost surely, 2611682313082352 is an apocalyptic number.

It is an amenable number.

611682313082352 is an abundant number, since it is smaller than the sum of its proper divisors (1061458841887248).

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

611682313082352 is a wasteful number, since it uses less digits than its factorization.

611682313082352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535030 (or 4535024 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 611682313082352 in words is "six hundred eleven trillion, six hundred eighty-two billion, three hundred thirteen million, eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 171803 343606 515409 687212 1030818 1374424 2061636 2748848 2920651 4123272 4363199 5841302 8246544 8726398 8761953 11682604 13089597 17452796 17523906 23365208 26179194 34905592 35047812 46730416 52358388 69811184 70095624 74174383 104716776 140191248 148348766 209433552 222523149 296697532 445046298 593395064 890092596 1186790128 1780185192 3560370384 749610677797 1499221355594 2248832033391 2998442711188 4497664066782 5996885422376 8995328133564 11993770844752 12743381522549 17990656267128 25486763045098 35981312534256 38230144567647 50973526090196 76460289135294 101947052180392 152920578270588 203894104360784 305841156541176 611682313082352