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5431293686700 = 223252721131397841
BaseRepresentation
bin100111100001001001001…
…0101001011001110101100
3201020020010012021111022100
41033002102111023032230
51202441242140433300
615315034001015100
71100253343416300
oct117022225131654
921206105244270
105431293686700
111804442768952
12738755324490
13305226b01b8b
1414ac39b0dd00
15964315d8700
hex4f09254b3ac

5431293686700 has 648 divisors, whose sum is σ = 20125082381040. Its totient is φ = 1221444403200.

The previous prime is 5431293686699. The next prime is 5431293686747. The reversal of 5431293686700 is 76863921345.

5431293686700 is a `hidden beast` number, since 5 + 431 + 2 + 93 + 68 + 67 + 0 + 0 = 666.

It is a super-2 number, since 2×54312936867002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 692674780 + ... + 692682620.

It is a 1-persistent number, because it is pandigital, but 2⋅5431293686700 = 10862587373400 is not.

Almost surely, 25431293686700 is an apocalyptic number.

5431293686700 is a gapful number since it is divisible by the number (50) 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 5431293686700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062541190520).

5431293686700 is an abundant number, since it is smaller than the sum of its proper divisors (14693788694340).

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

5431293686700 is a wasteful number, since it uses less digits than its factorization.

5431293686700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5431293686700 in words is "five trillion, four hundred thirty-one billion, two hundred ninety-three million, six hundred eighty-six thousand, seven hundred".