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10380948964155 = 3557111744914537
BaseRepresentation
bin1001011100010000000011…
…0001101000001100111011
31100202102001011220201200000
42113010000301220030323
52330040140413323110
634024535255244043
72120666410201620
oct227040061501473
940672034821600
1010380948964155
1133425990721a0
1211b7a92979623
135a3bc489a393
1427c625070347
151300740701c0
hex97100c6833b

10380948964155 has 384 divisors, whose sum is σ = 24689571379200. Its totient is φ = 4051064586240.

The previous prime is 10380948964129. The next prime is 10380948964159. The reversal of 10380948964155 is 55146984908301.

10380948964155 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 9 + 489 + 64 + 15 + 5 = 666.

It is not a de Polignac number, because 10380948964155 - 26 = 10380948964091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10380948964092 and 10380948964101.

It is not an unprimeable number, because it can be changed into a prime (10380948964159) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 714098047 + ... + 714112583.

It is an arithmetic number, because the mean of its divisors is an integer number (64295758800).

Almost surely, 210380948964155 is an apocalyptic number.

10380948964155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10380948964155 is an abundant number, since it is smaller than the sum of its proper divisors (14308622415045).

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

10380948964155 is a wasteful number, since it uses less digits than its factorization.

10380948964155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15029 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 10380948964155 in words is "ten trillion, three hundred eighty billion, nine hundred forty-eight million, nine hundred sixty-four thousand, one hundred fifty-five".