Search a number
-
+
10591355989632 = 2731119157840571
BaseRepresentation
bin1001101000011111111000…
…0000101110111010000000
31101111112010210212002021110
42122013332000232322000
52342012044113132012
634305333552123320
72142125450333025
oct232077600567200
941445123762243
1010591355989632
1134138503816a0
121230813836540
135ba9b7007ca2
142888a538754c
1513578aea273c
hex9a1fe02ee80

10591355989632 has 256 divisors, whose sum is σ = 32511980044800. Its totient is φ = 3021210316800.

The previous prime is 10591355989631. The next prime is 10591355989667. The reversal of 10591355989632 is 23698955319501.

It is a super-2 number, since 2×105913559896322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (10591355989631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12179907 + ... + 13020477.

It is an arithmetic number, because the mean of its divisors is an integer number (126999922050).

Almost surely, 210591355989632 is an apocalyptic number.

10591355989632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10591355989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255990022400).

10591355989632 is an abundant number, since it is smaller than the sum of its proper divisors (21920624055168).

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

10591355989632 is a wasteful number, since it uses less digits than its factorization.

10591355989632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840775 (or 840763 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 66.

The spelling of 10591355989632 in words is "ten trillion, five hundred ninety-one billion, three hundred fifty-five million, nine hundred eighty-nine thousand, six hundred thirty-two".