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10022525342144 = 26759337726321
BaseRepresentation
bin1001000111011000110100…
…0100000001000111000000
31022111010220000122012020122
42101312031010001013000
52303202112441422034
633152141245155412
72053050343525610
oct221661504010700
938433800565218
1010022525342144
1132145902a5a67
12115a52355bb68
13579173a96443
14269142980a40
15125a9774362e
hex91d8d1011c0

10022525342144 has 56 divisors (see below), whose sum is σ = 22767986232288. Its totient is φ = 4288124436480.

The previous prime is 10022525342117. The next prime is 10022525342239. The reversal of 10022525342144 is 44124352522001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18597497 + ... + 19128824.

Almost surely, 210022525342144 is an apocalyptic number.

10022525342144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10022525342144 is an abundant number, since it is smaller than the sum of its proper divisors (12745460890144).

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

10022525342144 is an equidigital number, since it uses as much as digits as its factorization.

10022525342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37726933 (or 37726923 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10022525342144 its reverse (44124352522001), we get a palindrome (54146877864145).

The spelling of 10022525342144 in words is "ten trillion, twenty-two billion, five hundred twenty-five million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 593 1186 2372 4151 4744 8302 9488 16604 18976 33208 37952 66416 132832 265664 37726321 75452642 150905284 264084247 301810568 528168494 603621136 1056336988 1207242272 2112673976 2414484544 4225347952 8450695904 16901391808 22371708353 44743416706 89486833412 156601958471 178973666824 313203916942 357947333648 626407833884 715894667296 1252815667768 1431789334592 2505631335536 5011262671072 10022525342144