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99958252653 = 32731166730703
BaseRepresentation
bin101110100010111111…
…0011110010001101101
3100120000021002100122200
41131011332132101231
53114203303041103
6113530432132113
710136026062060
oct1350576362155
9316007070580
1099958252653
1139434911766
1217457997039
13956cc8377c
144ba36b48d7
1529007400a3
hex1745f9e46d

99958252653 has 48 divisors (see below), whose sum is σ = 170441097216. Its totient is φ = 55241494560.

The previous prime is 99958252649. The next prime is 99958252697. The reversal of 99958252653 is 35625285999.

99958252653 is a `hidden beast` number, since 9 + 9 + 9 + 58 + 2 + 526 + 53 = 666.

It is not a de Polignac number, because 99958252653 - 22 = 99958252649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99958252753) 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, 3240300 + ... + 3271002.

It is an arithmetic number, because the mean of its divisors is an integer number (3550856192).

Almost surely, 299958252653 is an apocalyptic number.

99958252653 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

99958252653 is a deficient number, since it is larger than the sum of its proper divisors (70482844563).

99958252653 is a wasteful number, since it uses less digits than its factorization.

99958252653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32414 (or 32411 counting only the distinct ones).

The product of its digits is 52488000, while the sum is 63.

The spelling of 99958252653 in words is "ninety-nine billion, nine hundred fifty-eight million, two hundred fifty-two thousand, six hundred fifty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1667 1953 5001 11669 15003 30703 35007 51677 92109 105021 155031 214921 276327 361739 465093 644763 951793 1085217 1934289 2855379 3255651 6662551 8566137 19987653 51181901 59962959 153545703 358273307 460637109 1074819921 1586638931 3224459763 4759916793 11106472517 14279750379 33319417551 99958252653