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742131005757 = 34359383325439
BaseRepresentation
bin10101100110010100111…
…01000111100100111101
32121221120101102020120120
422303022131013210331
544124341014141012
61324532535005153
7104421461316051
oct12631235074475
92557511366516
10742131005757
11266810672919
12bb9b62097b9
1354ca0b7504b
1427cc290dc61
1514487bcd58c
hexacca74793d

742131005757 has 32 divisors (see below), whose sum is σ = 1029990297600. Its totient is φ = 474914842752.

The previous prime is 742131005729. The next prime is 742131005807. The reversal of 742131005757 is 757500131247.

It is not a de Polignac number, because 742131005757 - 28 = 742131005501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742131000757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29160244 + ... + 29185682.

It is an arithmetic number, because the mean of its divisors is an integer number (32187196800).

Almost surely, 2742131005757 is an apocalyptic number.

It is an amenable number.

742131005757 is a deficient number, since it is larger than the sum of its proper divisors (287859291843).

742131005757 is a wasteful number, since it uses less digits than its factorization.

742131005757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29377.

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 742131005757 in words is "seven hundred forty-two billion, one hundred thirty-one million, five thousand, seven hundred fifty-seven".

Divisors: 1 3 43 59 129 177 2537 3833 7611 11499 25439 76317 164819 226147 494457 678441 1093877 1500901 3281631 4502703 9724321 29172963 64538743 97507687 193616229 292523061 4192830541 5752953533 12578491623 17258860599 247377001919 742131005757