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374022232672 = 251122931107449
BaseRepresentation
bin1010111000101010111…
…01100101101001100000
31022202102020211001120011
411130111131211221200
522111444142421142
6443453510254304
736010422344014
oct5342535455140
91282366731504
10374022232672
11134692888300
12605a3357394
132936868039a
1414162018544
159ae0e87417
hex5715765a60

374022232672 has 144 divisors (see below), whose sum is σ = 864310608000. Its totient is φ = 158851123200.

The previous prime is 374022232663. The next prime is 374022232679. The reversal of 374022232672 is 276232220473.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374022232679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3427204 + ... + 3534652.

It is an arithmetic number, because the mean of its divisors is an integer number (6002157000).

Almost surely, 2374022232672 is an apocalyptic number.

374022232672 is a gapful number since it is divisible by the number (32) 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 374022232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432155304000).

374022232672 is an abundant number, since it is smaller than the sum of its proper divisors (490288375328).

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

374022232672 is a wasteful number, since it uses less digits than its factorization.

374022232672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107541 (or 107522 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 374022232672 in words is "three hundred seventy-four billion, twenty-two million, two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 121 124 176 232 242 248 319 341 352 464 484 496 638 682 899 928 968 992 1276 1364 1798 1936 2552 2728 3509 3596 3751 3872 5104 5456 7018 7192 7502 9889 10208 10912 14036 14384 15004 19778 28072 28768 30008 39556 56144 60016 79112 107449 108779 112288 120032 158224 214898 217558 316448 429796 435116 859592 870232 1181939 1719184 1740464 2363878 3116021 3330919 3438368 3480928 4727756 6232042 6661838 9455512 12464084 13001329 13323676 18911024 24928168 26002658 26647352 34276231 36640109 37822048 49856336 52005316 53294704 68552462 73280218 96596651 99712672 104010632 106589408 137104924 146560436 193193302 208021264 274209848 293120872 377038541 386386604 403041199 416042528 548419696 586241744 754077082 772773208 806082398 1062563161 1096839392 1172483488 1508154164 1545546416 1612164796 2125126322 3016308328 3091092832 3224329592 4250252644 6032616656 6448659184 8500505288 11688194771 12065233312 12897318368 17001010576 23376389542 34002021152 46752779084 93505558168 187011116336 374022232672