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1007469235507 = 72317910977023
BaseRepresentation
bin11101010100100011101…
…10001000110100110011
310120022110021002220101011
432222101312020310303
5113001244111014012
62050454110051351
7132534012130600
oct16522166106463
93508407086334
101007469235507
113592a11340a9
121433074a9b57
1374008874917
1436a9442b6a7
151b31736d1a7
hexea91d88d33

1007469235507 has 48 divisors (see below), whose sum is σ = 1236327628800. Its totient is φ = 817529993280.

The previous prime is 1007469235499. The next prime is 1007469235537. The reversal of 1007469235507 is 7055329647001.

1007469235507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007469235507 - 23 = 1007469235499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007469235537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13041598 + ... + 13118620.

It is an arithmetic number, because the mean of its divisors is an integer number (25756825600).

Almost surely, 21007469235507 is an apocalyptic number.

1007469235507 is a deficient number, since it is larger than the sum of its proper divisors (228858393293).

1007469235507 is a wasteful number, since it uses less digits than its factorization.

1007469235507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77256 (or 77249 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 1007469235507 in words is "one trillion, seven billion, four hundred sixty-nine million, two hundred thirty-five thousand, five hundred seven".

Divisors: 1 7 31 49 79 109 217 553 763 1519 2449 3379 3871 5341 8611 17143 23653 60277 77023 120001 165571 266941 421939 539161 1868587 2387713 3774127 6084817 8395507 13080109 16713991 42593719 58768549 116997937 188629327 260260717 298156033 411379843 663245053 1320405289 1821825019 4642715371 9242837023 12752775133 20560596643 32499007597 143924176501 1007469235507