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20590158937152 = 26372311071135839
BaseRepresentation
bin1001010111010000001010…
…00110111111110001000000
32200220101210120121202210210
410223220011012333301000
510144322121141442102
6111442553300154120
74223406222146400
oct453500506776100
980811716552723
1020590158937152
116619267a32442
122386616698940
13b6484a16181c
145127d7512800
1525a8e5c8d36c
hex12ba051bfc40

20590158937152 has 672 divisors, whose sum is σ = 66623892111360. Its totient is φ = 5589056471040.

The previous prime is 20590158937091. The next prime is 20590158937169. The reversal of 20590158937152 is 25173985109502.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×205901589371522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20590158937092 and 20590158937101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3526313049 + ... + 3526318887.

Almost surely, 220590158937152 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 20590158937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33311946055680).

20590158937152 is an abundant number, since it is smaller than the sum of its proper divisors (46033733174208).

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

20590158937152 is a wasteful number, since it uses less digits than its factorization.

20590158937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 20590158937152 in words is "twenty trillion, five hundred ninety billion, one hundred fifty-eight million, nine hundred thirty-seven thousand, one hundred fifty-two".