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1005147708056 = 231747157250893
BaseRepresentation
bin11101010000001110111…
…10001101101010011000
310120002110110202002101222
432220013132031222120
5112432020303124211
62045431455431212
7132422332356152
oct16500736155230
93502413662358
101005147708056
1135830a74a178
12142979b25508
1373a2890303b
1436913d97ad2
151b22d6481db
hexea0778da98

1005147708056 has 32 divisors (see below), whose sum is σ = 2037971586240. Its totient is φ = 462946626048.

The previous prime is 1005147708041. The next prime is 1005147708077. The reversal of 1005147708056 is 6508077415001.

1005147708056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1005147707998 and 1005147708016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78619055 + ... + 78631838.

It is an arithmetic number, because the mean of its divisors is an integer number (63686612070).

Almost surely, 21005147708056 is an apocalyptic number.

It is an amenable number.

1005147708056 is an abundant number, since it is smaller than the sum of its proper divisors (1032823878184).

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

1005147708056 is a wasteful number, since it uses less digits than its factorization.

1005147708056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157250963 (or 157250959 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 44.

The spelling of 1005147708056 in words is "one trillion, five billion, one hundred forty-seven million, seven hundred eight thousand, fifty-six".

Divisors: 1 2 4 8 17 34 47 68 94 136 188 376 799 1598 3196 6392 157250893 314501786 629003572 1258007144 2673265181 5346530362 7390791971 10693060724 14781583942 21386121448 29563167884 59126335768 125643463507 251286927014 502573854028 1005147708056