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1007417197444 = 227179201001037
BaseRepresentation
bin11101010100011101011…
…11101000001110000100
310120022022122012002120111
432222032233220032010
5113001142300304234
62050445010442404
7132532510614250
oct16521657501604
93508278162514
101007417197444
11359274821139
121432b1b93404
1373ccab54978
1436a8b563260
151b3129de664
hexea8ebe8384

1007417197444 has 24 divisors (see below), whose sum is σ = 2026090463040. Its totient is φ = 429338212896.

The previous prime is 1007417197429. The next prime is 1007417197471. The reversal of 1007417197444 is 4447917147001.

1007417197444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 100495507 + ... + 100505530.

It is an arithmetic number, because the mean of its divisors is an integer number (84420435960).

Almost surely, 21007417197444 is an apocalyptic number.

1007417197444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007417197444 is an abundant number, since it is smaller than the sum of its proper divisors (1018673265596).

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

1007417197444 is a wasteful number, since it uses less digits than its factorization.

1007417197444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201001227 (or 201001225 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 1007417197444 in words is "one trillion, seven billion, four hundred seventeen million, one hundred ninety-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 179 358 716 1253 2506 5012 201001037 402002074 804004148 1407007259 2814014518 5628029036 35979185623 71958371246 143916742492 251854299361 503708598722 1007417197444