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130073316280056 = 23325388413352703
BaseRepresentation
bin11101100100110100001101…
…110011111100011011111000
3122001112212222001112012122200
4131210310031303330123320
5114022110122431430211
61140350505004150200
736253326014620212
oct3544641563743370
9561485861465580
10130073316280056
1138499869043616
12127090b6538360
135776b26a92016
1424198213cb5b2
15100878adc5b56
hex764d0dcfc6f8

130073316280056 has 48 divisors (see below), whose sum is σ = 352282657109760. Its totient is φ = 43357678696320.

The previous prime is 130073316280051. The next prime is 130073316280081. The reversal of 130073316280056 is 650082613370031.

130073316280056 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 7 + 3 + 316 + 280 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130073316279993 and 130073316280020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130073316280051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37120201 + ... + 40472903.

It is an arithmetic number, because the mean of its divisors is an integer number (7339222023120).

Almost surely, 2130073316280056 is an apocalyptic number.

It is an amenable number.

130073316280056 is an abundant number, since it is smaller than the sum of its proper divisors (222209340829704).

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

130073316280056 is a wasteful number, since it uses less digits than its factorization.

130073316280056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891556 (or 3891549 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 130073316280056 in words is "one hundred thirty trillion, seventy-three billion, three hundred sixteen million, two hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 538841 1077682 1616523 2155364 3233046 3352703 4310728 4849569 6466092 6705406 9699138 10058109 12932184 13410812 19398276 20116218 26821624 30174327 38796552 40232436 60348654 80464872 120697308 241394616 1806573837223 3613147674446 5419721511669 7226295348892 10839443023338 14452590697784 16259164535007 21678886046676 32518329070014 43357772093352 65036658140028 130073316280056