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103629573769680 = 24335723631472253
BaseRepresentation
bin10111100100000000100011…
…111011101100100111010000
3111120220220001011201000112000
4113210000203323230213100
5102040331331341112210
61004222434033034000
730553663305143250
oct2744004373544720
9446826034630460
10103629573769680
1130024067859312
12b7581326b5900
1345a92c45a193a
141b839ab965960
15bea99a364ac0
hex5e4023eec9d0

103629573769680 has 640 divisors, whose sum is σ = 426350608957440. Its totient is φ = 22620946360320.

The previous prime is 103629573769643. The next prime is 103629573769697. The reversal of 103629573769680 is 86967375926301.

103629573769680 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 95 + 7 + 376 + 96 + 80 = 666.

It is a super-3 number, since 3×1036295737696803 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103629573769599 and 103629573769608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219200434 + ... + 219672686.

It is an arithmetic number, because the mean of its divisors is an integer number (666172826496).

Almost surely, 2103629573769680 is an apocalyptic number.

103629573769680 is a gapful number since it is divisible by the number (10) 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 103629573769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213175304478720).

103629573769680 is an abundant number, since it is smaller than the sum of its proper divisors (322721035187760).

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

103629573769680 is a wasteful number, since it uses less digits than its factorization.

103629573769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472936 (or 472924 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 103629573769680 in words is "one hundred three trillion, six hundred twenty-nine billion, five hundred seventy-three million, seven hundred sixty-nine thousand, six hundred eighty".