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472505715759 = 372111050127827
BaseRepresentation
bin1101110000000111000…
…10010000110000101111
31200011121201212100200210
412320003202100300233
530220142430401014
61001022141153503
746065063213300
oct6700342206057
91604551770623
10472505715759
11172430181840
12776a925b893
1335731c3692c
1418c258b67a7
15c456eb3859
hex6e03890c2f

472505715759 has 48 divisors (see below), whose sum is σ = 799595058816. Its totient is φ = 245425320000.

The previous prime is 472505715709. The next prime is 472505715763. The reversal of 472505715759 is 957517505274.

It is not a de Polignac number, because 472505715759 - 213 = 472505707567 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472505715699 and 472505715708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472505715709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16966204 + ... + 16994030.

It is an arithmetic number, because the mean of its divisors is an integer number (16658230392).

Almost surely, 2472505715759 is an apocalyptic number.

472505715759 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

472505715759 is a deficient number, since it is larger than the sum of its proper divisors (327089343057).

472505715759 is a wasteful number, since it uses less digits than its factorization.

472505715759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38356 (or 38349 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 57.

The spelling of 472505715759 in words is "four hundred seventy-two billion, five hundred five million, seven hundred fifteen thousand, seven hundred fifty-nine".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 10501 27827 31503 73507 83481 115511 194789 220521 306097 346533 514549 584367 808577 918291 1363523 1543647 2142679 2425731 4090569 5660039 6428037 14998753 16980117 44996259 292211327 876633981 2045479289 3214324597 6136437867 9642973791 14318355023 22500272179 42955065069 67500816537 157501905253 472505715759