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61721012300420 = 225112946120985119
BaseRepresentation
bin11100000100010100010110…
…00000110110101010000100
322002112110201110122210120002
432002022023000312222010
531042214113122103140
6335134124104500432
716000124136216164
oct1602121300665204
9262473643583502
1061721012300420
111873680941aa30
126b09b4217a718
132859360614705
14113545499a5a4
15720789e4d415
hex38228b036a84

61721012300420 has 96 divisors (see below), whose sum is σ = 146590296652800. Its totient is φ = 21623065587200.

The previous prime is 61721012300411. The next prime is 61721012300429. The reversal of 61721012300420 is 2400321012716.

It is an interprime number because it is at equal distance from previous prime (61721012300411) and next prime (61721012300429).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (61721012300429) 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 31 ways as a sum of consecutive naturals, for example, 7551380 + ... + 13433739.

It is an arithmetic number, because the mean of its divisors is an integer number (1526982256800).

Almost surely, 261721012300420 is an apocalyptic number.

It is an amenable number.

61721012300420 is an abundant number, since it is smaller than the sum of its proper divisors (84869284352380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61721012300420 is a wasteful number, since it uses less digits than its factorization.

61721012300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985629 (or 20985627 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 61721012300420 in words is "sixty-one trillion, seven hundred twenty-one billion, twelve million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 461 580 638 922 1276 1595 1844 2305 3190 4610 5071 6380 9220 10142 13369 20284 25355 26738 50710 53476 66845 101420 133690 147059 267380 294118 588236 735295 1470590 2941180 20985119 41970238 83940476 104925595 209851190 230836309 419702380 461672618 608568451 923345236 1154181545 1217136902 2308363090 2434273804 3042842255 4616726180 6085684510 6694252961 9674139859 12171369020 13388505922 19348279718 26777011844 33471264805 38696559436 48370699295 66942529610 96741398590 106415538449 133885059220 193482797180 212831076898 280550055911 425662153796 532077692245 561100111822 1064155384490 1122200223644 1402750279555 2128310768980 2805500559110 3086050615021 5611001118220 6172101230042 12344202460084 15430253075105 30860506150210 61721012300420