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10100028408792 = 23371941613125897
BaseRepresentation
bin1001001011111001100010…
…0110110000001111011000
31022202112221100022220121120
42102332120212300033120
52310434324233040132
633251520005005240
72061463055653260
oct222763046601730
938675840286546
1010100028408792
113244441803063
1211715530b3820
135835758038aa
1426cbb5c667a0
15127ad18e002c
hex92f989b03d8

10100028408792 has 256 divisors, whose sum is σ = 31167913190400. Its totient is φ = 2662791045120.

The previous prime is 10100028408739. The next prime is 10100028408793. The reversal of 10100028408792 is 29780482000101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100028408793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80161588 + ... + 80287484.

It is an arithmetic number, because the mean of its divisors is an integer number (121749660900).

Almost surely, 210100028408792 is an apocalyptic number.

10100028408792 is a gapful number since it is divisible by the number (12) 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 10100028408792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583956595200).

10100028408792 is an abundant number, since it is smaller than the sum of its proper divisors (21067884781608).

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

10100028408792 is a wasteful number, since it uses less digits than its factorization.

10100028408792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126586 (or 126582 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

It can be divided in two parts, 10100028 and 408792, that added together give a triangular number (10508820 = T4584).

The spelling of 10100028408792 in words is "ten trillion, one hundred billion, twenty-eight million, four hundred eight thousand, seven hundred ninety-two".