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20107076498532 = 223217101857379573
BaseRepresentation
bin1001001001001100010110…
…01001101111010001100100
32122012012212201210012221200
410210212023021233101210
510113413243040423112
6110433021411042500
74143455046160302
oct444461311572144
978165781705850
1020107076498532
1164523aa547231
122308a772a0430
13b2b120c01aca
144d728b06d272
1524d07049acdc
hex12498b26f464

20107076498532 has 144 divisors (see below), whose sum is σ = 54412391425392. Its totient is φ = 6238341734400.

The previous prime is 20107076498519. The next prime is 20107076498539. The reversal of 20107076498532 is 23589467070102.

It is a happy number.

20107076498532 is a `hidden beast` number, since 2 + 0 + 10 + 7 + 0 + 7 + 6 + 4 + 98 + 532 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5979521433636 + 14127555064896 = 2445306^2 + 3758664^2 .

It is not an unprimeable number, because it can be changed into a prime (20107076498539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52783098 + ... + 53162670.

It is an arithmetic number, because the mean of its divisors is an integer number (377863829343).

It is a 1-persistent number, because it is pandigital, but 2⋅20107076498532 = 40214152997064 is not.

Almost surely, 220107076498532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107076498532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27206195712696).

20107076498532 is an abundant number, since it is smaller than the sum of its proper divisors (34305314926860).

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

20107076498532 is a wasteful number, since it uses less digits than its factorization.

20107076498532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380558 (or 380553 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20107076498532 in words is "twenty trillion, one hundred seven billion, seventy-six million, four hundred ninety-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 857 909 1212 1714 1717 1818 2571 3428 3434 3636 5142 5151 6868 7713 10284 10302 14569 15426 15453 20604 29138 30852 30906 43707 58276 61812 86557 87414 131121 173114 174828 259671 262242 346228 379573 519342 524484 759146 779013 1038684 1138719 1471469 1518292 1558026 2277438 2942938 3116052 3416157 4414407 4554876 5885876 6452741 6832314 8828814 12905482 13243221 13664628 17657628 19358223 25810964 26486442 38336873 38716446 52972884 58074669 76673746 77432892 115010619 116149338 153347492 230021238 232298676 325294061 345031857 460042476 650588122 651726841 690063714 975882183 1301176244 1303453682 1380127428 1951764366 1955180523 2606907364 2927646549 3903528732 3910361046 5529999037 5855293098 5865541569 7820722092 11059998074 11710586196 11731083138 16589997111 22119996148 23462166276 32854700161 33179994222 49769991333 65709400322 66359988444 98564100483 99539982666 131418800644 197128200966 199079965332 295692301449 394256401932 558529902737 591384602898 1117059805474 1182769205796 1675589708211 2234119610948 3351179416422 5026769124633 6702358832844 10053538249266 20107076498532