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2345046067752 = 2334320111129951
BaseRepresentation
bin100010000111111111101…
…000110100101000101000
322022011222021220012211220
4202013333220310220220
5301410123243132002
64553144351422040
7331265266455123
oct42077750645050
98264867805756
102345046067752
1182458a408553
1231a59b224920
131401a19b372b
14817024133ba
15410001797bc
hex221ffa34a28

2345046067752 has 64 divisors (see below), whose sum is σ = 6001943439360. Its totient is φ = 763123032000.

The previous prime is 2345046067747. The next prime is 2345046067781. The reversal of 2345046067752 is 2577606405432.

It is a junction number, because it is equal to n+sod(n) for n = 2345046067695 and 2345046067704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1510377 + ... + 2640327.

It is an arithmetic number, because the mean of its divisors is an integer number (93780366240).

Almost surely, 22345046067752 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 2345046067752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000971719680).

2345046067752 is an abundant number, since it is smaller than the sum of its proper divisors (3656897371608).

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

2345046067752 is a wasteful number, since it uses less digits than its factorization.

2345046067752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132014 (or 1132010 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 2345046067752 in words is "two trillion, three hundred forty-five billion, forty-six million, sixty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2011 4022 6033 8044 12066 16088 24132 48264 86473 172946 259419 345892 518838 691784 1037676 1129951 2075352 2259902 3389853 4519804 6779706 9039608 13559412 27118824 48587893 97175786 145763679 194351572 291527358 388703144 583054716 1166109432 2272331461 4544662922 6816994383 9089325844 13633988766 18178651688 27267977532 54535955064 97710252823 195420505646 293130758469 390841011292 586261516938 781682022584 1172523033876 2345046067752