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20789102136096 = 2532713277770953
BaseRepresentation
bin1001011101000010101110…
…00011000100101100100000
32201121102022021100101210100
410232201113003010230200
510211102040121323341
6112114214235302400
74243651221350640
oct456412703045440
981542267311710
1020789102136096
116695677204338
1223b90982aaa00
13b7a533546918
1451c2ab0dc520
15260b8b5613b6
hex12e8570c4b20

20789102136096 has 144 divisors (see below), whose sum is σ = 67615505927424. Its totient is φ = 5935266634752.

The previous prime is 20789102135957. The next prime is 20789102136113. The reversal of 20789102136096 is 69063120198702.

20789102136096 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 9 + 1 + 0 + 21 + 3 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×207891021360962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210245 + ... + 6560708.

It is an arithmetic number, because the mean of its divisors is an integer number (469552124496).

Almost surely, 220789102136096 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 20789102136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807752963712).

20789102136096 is an abundant number, since it is smaller than the sum of its proper divisors (46826403791328).

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

20789102136096 is a wasteful number, since it uses less digits than its factorization.

20789102136096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772303 (or 7772292 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 20789102136096 in words is "twenty trillion, seven hundred eighty-nine billion, one hundred two million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1327 2016 2654 3981 5308 7962 9289 10616 11943 15924 18578 21232 23886 27867 31848 37156 42464 47772 55734 63696 74312 83601 95544 111468 127392 148624 167202 191088 222936 297248 334404 382176 445872 668808 891744 1337616 2675232 7770953 15541906 23312859 31083812 46625718 54396671 62167624 69938577 93251436 108793342 124335248 139877154 163190013 186502872 217586684 248670496 279754308 326380026 373005744 435173368 489570039 559508616 652760052 746011488 870346736 979140078 1119017232 1305520104 1740693472 1958280156 2238034464 2611040208 3916560312 5222080416 7833120624 10312054631 15666241248 20624109262 30936163893 41248218524 61872327786 72184382417 82496437048 92808491679 123744655572 144368764834 164992874096 185616983358 216553147251 247489311144 288737529668 329985748192 371233966716 433106294502 494978622288 577475059336 649659441753 742467933432 866212589004 989957244576 1154950118672 1299318883506 1484935866864 1732425178008 2309900237344 2598637767012 2969871733728 3464850356016 5197275534024 6929700712032 10394551068048 20789102136096