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23324321384676 = 2234132206392
BaseRepresentation
bin1010100110110100111011…
…11001000000100011100100
310001120210011001122011110000
411103122131321000203210
511024121202233302201
6121335013442301300
74625061266405364
oct523323571004344
9101523131564400
1023324321384676
1174828753a3324
1227484b0057830
1310026216b6100
145a8c904709a4
152a6abc0aed86
hex15369de408e4

23324321384676 has 135 divisors (see below), whose sum is σ = 66028714943961. Its totient is φ = 7176366546336.

The previous prime is 23324321384621. The next prime is 23324321384747. The reversal of 23324321384676 is 67648312342332.

The square root of 23324321384676 is 4829526.

It is a perfect power (a square), and thus also a powerful number.

23324321384676 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 43 + 2 + 138 + 467 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3450343400100 + 19873977984576 = 1857510^2 + 4458024^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1130098765 + ... + 1130119403.

Almost surely, 223324321384676 is an apocalyptic number.

23324321384676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23324321384676 is the 4829526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23324321384676

23324321384676 is an abundant number, since it is smaller than the sum of its proper divisors (42704393559285).

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

23324321384676 is an frugal number, since it uses more digits than its factorization.

23324321384676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41320 (or 20657 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 23324321384676 in words is "twenty-three trillion, three hundred twenty-four billion, three hundred twenty-one million, three hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 20639 27378 41278 54756 61917 82556 123834 185751 247668 268307 371502 536614 557253 743004 804921 1073228 1114506 1609842 1671759 2229012 2414763 3219684 3343518 3487991 4829526 6687036 6975982 7244289 9659052 10463973 13951964 14488578 20927946 21732867 28977156 31391919 41855892 43465734 62783838 86931468 94175757 125567676 188351514 282527271 376703028 425968321 565054542 851936642 1130109084 1277904963 1703873284 2555809926 3833714889 5111619852 5537588173 7667429778 11075176346 11501144667 15334859556 16612764519 22150352692 23002289334 33225529038 34503434001 46004578668 49838293557 66451058076 69006868002 71988646249 99676587114 138013736004 143977292498 149514880671 199353174228 215965938747 287954584996 299029761342 431931877494 448544642013 598059522684 647897816241 863863754988 897089284026 1295795632482 1794178568052 1943693448723 2591591264964 3887386897446 5831080346169 7774773794892 11662160692338 23324321384676