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10142196383760 = 24357175322692953
BaseRepresentation
bin1001001110010110101000…
…0000110100000000010000
31022220120210002210222200020
42103211222000310000100
52312132204233240020
633323132151023440
72064515036561640
oct223455200640020
938816702728606
1010142196383760
1132603104a7851
12117976106ab80
13587535a83b7c
14270c56336520
15128c4d8b9c40
hex9396a034010

10142196383760 has 640 divisors, whose sum is σ = 38794087019520. Its totient is φ = 2139015610368.

The previous prime is 10142196383741. The next prime is 10142196383789. The reversal of 10142196383760 is 6738369124101.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 3434538444 + ... + 3434541396.

It is an arithmetic number, because the mean of its divisors is an integer number (60615760968).

Almost surely, 210142196383760 is an apocalyptic number.

10142196383760 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 10142196383760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397043509760).

10142196383760 is an abundant number, since it is smaller than the sum of its proper divisors (28651890635760).

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

10142196383760 is a wasteful number, since it uses less digits than its factorization.

10142196383760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 10142196383760 in words is "ten trillion, one hundred forty-two billion, one hundred ninety-six million, three hundred eighty-three thousand, seven hundred sixty".