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20675552591232 = 27327112327913631
BaseRepresentation
bin1001011001101111001101…
…11101111011110110000000
32201012120012210211212020200
410230313212331323312000
510202222012430404412
6111550115010405200
74232521316220120
oct454674675736600
981176183755220
1020675552591232
1166514a8477680
12239b088890800
13b6c908854216
145169b8740c80
1525cc42a219dc
hex12cde6f7bd80

20675552591232 has 768 divisors, whose sum is σ = 77451041341440. Its totient is φ = 5133528576000.

The previous prime is 20675552591231. The next prime is 20675552591233. The reversal of 20675552591232 is 23219525557602.

20675552591232 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 5 + 5 + 525 + 91 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20675552591231) and next prime (20675552591233).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20675552591231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5694174057 + ... + 5694177687.

It is an arithmetic number, because the mean of its divisors is an integer number (100847710080).

Almost surely, 220675552591232 is an apocalyptic number.

20675552591232 is a gapful number since it is divisible by the number (22) 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 20675552591232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38725520670720).

20675552591232 is an abundant number, since it is smaller than the sum of its proper divisors (56775488750208).

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

20675552591232 is a wasteful number, since it uses less digits than its factorization.

20675552591232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 20675552591232 in words is "twenty trillion, six hundred seventy-five billion, five hundred fifty-two million, five hundred ninety-one thousand, two hundred thirty-two".