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530629396101 = 32727379720681
BaseRepresentation
bin1111011100010111111…
…10100000011010000101
31212201122110211020202100
413232023332200122011
532143212111133401
61043433501302313
753223330306300
oct7561376403205
91781573736670
10530629396101
111950475080a2
1286a0a864999
133b065a318ac
141b97b0a7b37
15dc09b34b86
hex7b8bfa0685

530629396101 has 72 divisors (see below), whose sum is σ = 904993276824. Its totient is φ = 298673464320.

The previous prime is 530629396051. The next prime is 530629396123. The reversal of 530629396101 is 101693926035.

530629396101 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 29 + 3 + 9 + 610 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16897400100 + 513731996001 = 129990^2 + 716751^2 .

It is not a de Polignac number, because 530629396101 - 210 = 530629395077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530629396001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25647481 + ... + 25668161.

It is an arithmetic number, because the mean of its divisors is an integer number (12569351067).

Almost surely, 2530629396101 is an apocalyptic number.

It is an amenable number.

530629396101 is a deficient number, since it is larger than the sum of its proper divisors (374363880723).

530629396101 is a wasteful number, since it uses less digits than its factorization.

530629396101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21571 (or 21561 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 530629396101 in words is "five hundred thirty billion, six hundred twenty-nine million, three hundred ninety-six thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 797 1533 2391 3577 4599 5579 7173 10731 16737 20681 32193 39053 50211 58181 62043 117159 144767 174543 186129 351477 407267 434301 523629 1013369 1221801 1302903 1509713 2850869 3040107 3665403 4529139 8552607 9120321 10567991 13587417 16482757 25657821 31703973 49448271 73975937 95111919 115379299 148344813 221927811 346137897 665783433 807655093 1038413691 1203241261 2422965279 3609723783 7268895837 8422688827 10829171349 25268066481 58958821789 75804199443 176876465367 530629396101