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2830234802364 = 2232596312111731
BaseRepresentation
bin101001001011110111001…
…000111101100010111100
3101000120022221002200121200
4221023313020331202330
5332332310102133424
610004105242055500
7411322566612654
oct51136710754274
911016287080550
102830234802364
119a1328842052
12398627aaa590
13176b75426c38
149adac501364
154d94a8298c9
hex292f723d8bc

2830234802364 has 72 divisors (see below), whose sum is σ = 7286995847040. Its totient is φ = 925951370400.

The previous prime is 2830234802333. The next prime is 2830234802467. The reversal of 2830234802364 is 4632084320382.

2830234802364 is a `hidden beast` number, since 2 + 8 + 302 + 34 + 80 + 236 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 284379 + ... + 2396109.

Almost surely, 22830234802364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830234802364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643497923520).

2830234802364 is an abundant number, since it is smaller than the sum of its proper divisors (4456761044676).

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

2830234802364 is a wasteful number, since it uses less digits than its factorization.

2830234802364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112431 (or 2112426 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 2830234802364 in words is "two trillion, eight hundred thirty billion, two hundred thirty-four million, eight hundred two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 631 708 1062 1262 1893 2124 2524 3786 5679 7572 11358 22716 37229 74458 111687 148916 223374 335061 446748 670122 1340244 2111731 4223462 6335193 8446924 12670386 19005579 25340772 38011158 76022316 124592129 249184258 373776387 498368516 747552774 1121329161 1332502261 1495105548 2242658322 2665004522 3997506783 4485316644 5330009044 7995013566 11992520349 15990027132 23985040698 47970081396 78617633399 157235266798 235852900197 314470533596 471705800394 707558700591 943411600788 1415117401182 2830234802364