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30620434406415 = 3572712609412457
BaseRepresentation
bin1101111011001011000000…
…00111011001110000001111
311000102021200201111012210120
412331211200013121300033
513003141122202001130
6145042500001440023
76310152624003150
oct675454007316017
9130367621435716
1030620434406415
119836064a49637
123526541640013
1314116577714a9
1477c0734b5927
15381793ac0910
hex1bd9601d9c0f

30620434406415 has 64 divisors (see below), whose sum is σ = 56219939205120. Its totient is φ = 13940880814080.

The previous prime is 30620434406371. The next prime is 30620434406437. The reversal of 30620434406415 is 51460443402603.

It is not a de Polignac number, because 30620434406415 - 213 = 30620434398223 is a prime.

It is a super-2 number, since 2×306204344064152 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74032867 + ... + 74445323.

It is an arithmetic number, because the mean of its divisors is an integer number (878436550080).

Almost surely, 230620434406415 is an apocalyptic number.

30620434406415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30620434406415 is a deficient number, since it is larger than the sum of its proper divisors (25599504798705).

30620434406415 is a wasteful number, since it uses less digits than its factorization.

30620434406415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415352.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 30620434406415 in words is "thirty trillion, six hundred twenty billion, four hundred thirty-four million, four hundred six thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 271 813 1355 1897 2609 4065 5691 7827 9485 13045 18263 28455 39135 54789 91315 273945 412457 707039 1237371 2062285 2121117 2887199 3535195 4949273 6186855 8661597 10605585 14435995 14847819 24746365 43307985 74239095 111775847 335327541 558879235 782430929 1076100313 1676637705 2347292787 3228300939 3912154645 5380501565 7532702191 11736463935 16141504695 22598106573 37663510955 112990532865 291623184823 874869554469 1458115924115 2041362293761 4374347772345 6124086881283 10206811468805 30620434406415