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10114798680 = 23325716272467
BaseRepresentation
bin10010110101110001…
…11001010001011000
3222002220210000022100
421122320321101120
5131203342024210
64351403123400
7505440240660
oct113270712130
928086700270
1010114798680
1143205a3a58
121b63513560
13c52712a9c
146bd4c71a0
153e2ed75c0
hex25ae39458

10114798680 has 192 divisors, whose sum is σ = 37607581440. Its totient is φ = 2309596416.

The previous prime is 10114798667. The next prime is 10114798691. The reversal of 10114798680 is 8689741101.

It is a happy number.

10114798680 is a `hidden beast` number, since 10 + 11 + 479 + 86 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4098807 + ... + 4101273.

It is an arithmetic number, because the mean of its divisors is an integer number (195872820).

Almost surely, 210114798680 is an apocalyptic number.

10114798680 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 10114798680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18803790720).

10114798680 is an abundant number, since it is smaller than the sum of its proper divisors (27492782760).

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

10114798680 is a wasteful number, since it uses less digits than its factorization.

10114798680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10114798680 in words is "ten billion, one hundred fourteen million, seven hundred ninety-eight thousand, six hundred eighty".