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20692191240 = 233257173115581
BaseRepresentation
bin10011010001010110…
…011100100000001000
31222102002000020010100
4103101112130200020
5314334200104430
613301133245400
71331525503110
oct232126344010
958362006110
1020692191240
1188592255a6
124015933860
131c49c11956
1410041ca040
158118e9960
hex4d159c808

20692191240 has 384 divisors, whose sum is σ = 84008171520. Its totient is φ = 4307558400.

The previous prime is 20692191211. The next prime is 20692191241. The reversal of 20692191240 is 4219129602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20692191195 and 20692191204.

It is not an unprimeable number, because it can be changed into a prime (20692191241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320250 + ... + 1335830.

It is an arithmetic number, because the mean of its divisors is an integer number (218771280).

Almost surely, 220692191240 is an apocalyptic number.

20692191240 is a gapful number since it is divisible by the number (20) 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 20692191240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42004085760).

20692191240 is an abundant number, since it is smaller than the sum of its proper divisors (63315980280).

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

20692191240 is a wasteful number, since it uses less digits than its factorization.

20692191240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20692191240 in words is "twenty billion, six hundred ninety-two million, one hundred ninety-one thousand, two hundred forty".