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22139682747840 = 2634572235091489
BaseRepresentation
bin1010000100010110010111…
…11011001111010111000000
32220101112101120001011020000
411002023023323033113000
510400214032240412330
6115030455125120000
74443352656213600
oct502131373172700
986345346034200
1022139682747840
117066428804799
12259699ab59000
13c479bc77b808
145677d0154c00
15285d85cb9560
hex1422cbecf5c0

22139682747840 has 1680 divisors, whose sum is σ = 95847962126400. Its totient is φ = 4827723005952.

The previous prime is 22139682747823. The next prime is 22139682747953. The reversal of 22139682747840 is 4874728693122.

It is a happy number.

22139682747840 is a `hidden beast` number, since 2 + 2 + 13 + 96 + 8 + 27 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14868825816 + ... + 14868827304.

Almost surely, 222139682747840 is an apocalyptic number.

22139682747840 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 22139682747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47923981063200).

22139682747840 is an abundant number, since it is smaller than the sum of its proper divisors (73708279378560).

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

22139682747840 is a wasteful number, since it uses less digits than its factorization.

22139682747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 22139682747840 in words is "twenty-two trillion, one hundred thirty-nine billion, six hundred eighty-two million, seven hundred forty-seven thousand, eight hundred forty".