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215150656176352 = 25131736314737769
BaseRepresentation
bin110000111010110110101010…
…011011110100000011100000
31001012210012110011011011102101
4300322312222123310003200
5211200012020440120402
62041330502535500144
763214056554055151
oct6072665233640340
91035705404134371
10215150656176352
116260a976499a86
122016977b527654
139308809995130
143b1b4c1097928
1519d1867beab87
hexc3adaa6f40e0

215150656176352 has 96 divisors (see below), whose sum is σ = 459524726579520. Its totient is φ = 98569831772160.

The previous prime is 215150656176241. The next prime is 215150656176361. The reversal of 215150656176352 is 253671656051512.

It is a super-2 number, since 2×2151506561763522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215150656176293 and 215150656176302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43042924 + ... + 47780692.

It is an arithmetic number, because the mean of its divisors is an integer number (4786715901870).

Almost surely, 2215150656176352 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 215150656176352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229762363289760).

215150656176352 is an abundant number, since it is smaller than the sum of its proper divisors (244374070403168).

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

215150656176352 is a wasteful number, since it uses less digits than its factorization.

215150656176352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738596 (or 4738588 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 55.

The spelling of 215150656176352 in words is "two hundred fifteen trillion, one hundred fifty billion, six hundred fifty-six million, one hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 631 692 1262 1384 2249 2524 2768 4498 5048 5536 8203 8996 10096 16406 17992 20192 32812 35984 65624 71968 109163 131248 218326 262496 436652 873304 1419119 1746608 2838238 3493216 4737769 5676476 9475538 11352952 18951076 22705904 37902152 45411808 61590997 75804304 123181994 151608608 246363988 492727976 819634037 985455952 1639268074 1970911904 2989532239 3278536148 5979064478 6557072296 10655242481 11958128956 13114144592 21310484962 23916257912 26228289184 38863919107 42620969924 47832515824 77727838214 85241939848 95665031648 155455676428 170483879696 310911352856 340967759392 517189077347 621822705712 1034378154694 1243645411424 2068756309388 4137512618776 6723458005511 8275025237552 13446916011022 16550050475104 26893832022044 53787664044088 107575328088176 215150656176352