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1328657030982 = 23437409541967
BaseRepresentation
bin10011010101011010001…
…000010101111101000110
311201000111101121110110000
4103111122020111331012
5133232042144442412
62454213203142130
7164664234264561
oct23253210257506
94630441543400
101328657030982
1147253128a776
12195604674946
13983a418b4c8
14484434c94d8
1524864bc24dc
hex1355a215f46

1328657030982 has 80 divisors (see below), whose sum is σ = 3065121702720. Its totient is φ = 429861416832.

The previous prime is 1328657030969. The next prime is 1328657030993. The reversal of 1328657030982 is 2890307568231.

1328657030982 is a `hidden beast` number, since 1 + 3 + 286 + 57 + 0 + 309 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2180563 + ... + 2722529.

It is an arithmetic number, because the mean of its divisors is an integer number (38314021284).

Almost surely, 21328657030982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328657030982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532560851360).

1328657030982 is an abundant number, since it is smaller than the sum of its proper divisors (1736464671738).

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

1328657030982 is a wasteful number, since it uses less digits than its factorization.

1328657030982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542427 (or 542418 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1328657030982 in words is "one trillion, three hundred twenty-eight billion, six hundred fifty-seven million, thirty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 409 666 818 999 1227 1998 2454 2997 3681 5994 7362 11043 15133 22086 30266 33129 45399 66258 90798 136197 272394 408591 541967 817182 1083934 1225773 1625901 2451546 3251802 4877703 9755406 14633109 20052779 29266218 40105558 43899327 60158337 87798654 120316674 180475011 221664503 360950022 443329006 541425033 664993509 1082850066 1329987018 1624275099 1994980527 3248550198 3989961054 5984941581 8201586611 11969883162 16403173222 17954824743 24604759833 35909649486 49209519666 73814279499 147628558998 221442838497 442885676994 664328515491 1328657030982