Search a number
-
+
2813196186920 = 235721435304177
BaseRepresentation
bin101000111011111111100…
…011110011010100101000
3100221221100110221100021102
4220323333203303110220
5332042411210440140
65552210421300532
7410150424021200
oct50737743632450
910857313840242
102813196186920
119950849a9089
12395271864748
1317538b433272
149a23364d400
154d29ea75e15
hex28eff8f3528

2813196186920 has 48 divisors (see below), whose sum is σ = 7363110433140. Its totient is φ = 964524406272.

The previous prime is 2813196186767. The next prime is 2813196186923. The reversal of 2813196186920 is 296816913182.

It can be written as a sum of positive squares in 2 ways, for example, as 2698154471236 + 115041715684 = 1642606^2 + 339178^2 .

It is a super-2 number, since 2×28131961869202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2813196186923) 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, 717650129 + ... + 717654048.

Almost surely, 22813196186920 is an apocalyptic number.

2813196186920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813196186920 is an abundant number, since it is smaller than the sum of its proper divisors (4549914246220).

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

2813196186920 is a wasteful number, since it uses less digits than its factorization.

2813196186920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435304202 (or 1435304191 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 56.

The spelling of 2813196186920 in words is "two trillion, eight hundred thirteen billion, one hundred ninety-six million, one hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1435304177 2870608354 5741216708 7176520885 10047129239 11482433416 14353041770 20094258478 28706083540 40188516956 50235646195 57412167080 70329904673 80377033912 100471292390 140659809346 200942584780 281319618692 351649523365 401885169560 562639237384 703299046730 1406598093460 2813196186920