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20158746972 = 22371327896619
BaseRepresentation
bin10010110001100011…
…100001000101011100
31221000220020110011020
4102301203201011130
5312241114400342
613132155524140
71312360344030
oct226143410534
957026213136
1020158746972
1186050a5a71
123aa7159650
131b93549c60
14d9340a1c0
157ceb770ec
hex4b18e115c

20158746972 has 96 divisors (see below), whose sum is σ = 57921292800. Its totient is φ = 5313883392.

The previous prime is 20158746961. The next prime is 20158747009. The reversal of 20158746972 is 27964785102.

It is a happy number.

It is a super-2 number, since 2×201587469722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042279 + ... + 3048897.

It is an arithmetic number, because the mean of its divisors is an integer number (603346800).

Almost surely, 220158746972 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 20158746972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28960646400).

20158746972 is an abundant number, since it is smaller than the sum of its proper divisors (37762545828).

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

20158746972 is a wasteful number, since it uses less digits than its factorization.

20158746972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 20158746972 in words is "twenty billion, one hundred fifty-eight million, seven hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2789 5578 6619 8367 11156 13238 16734 19523 19857 26476 33468 36257 39046 39714 46333 58569 72514 78092 79428 86047 92666 108771 117138 138999 145028 172094 185332 217542 234276 253799 258141 277998 344188 435084 507598 516282 555996 602329 761397 1015196 1032564 1204658 1522794 1806987 2409316 3045588 3613974 7227948 18460391 36920782 55381173 73841564 110762346 129222737 221524692 239985083 258445474 387668211 479970166 516890948 719955249 775336422 959940332 1439910498 1550672844 1679895581 2879820996 3359791162 5039686743 6719582324 10079373486 20158746972