Search a number
-
+
191393942900 = 225215712190697
BaseRepresentation
bin1011001000111111110…
…1111100110101110100
3200022000120110200112212
42302033331330311310
511113433322133100
6223531500232552
716553630446346
oct2621775746564
9608016420485
10191393942900
1174195989116
123111553b758
131508236c4b4
149399135296
154ea2b61635
hex2c8ff7cd74

191393942900 has 36 divisors (see below), whose sum is σ = 417970271628. Its totient is φ = 76069943040.

The previous prime is 191393942821. The next prime is 191393942933. The reversal of 191393942900 is 9249393191.

It can be written as a sum of positive squares in 6 ways, for example, as 1177587856 + 190216355044 = 34316^2 + 436138^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6079649 + ... + 6111048.

It is an arithmetic number, because the mean of its divisors is an integer number (11610285323).

Almost surely, 2191393942900 is an apocalyptic number.

191393942900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191393942900 is an abundant number, since it is smaller than the sum of its proper divisors (226576328728).

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

191393942900 is a wasteful number, since it uses less digits than its factorization.

191393942900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12190868 (or 12190861 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 50.

The spelling of 191393942900 in words is "one hundred ninety-one billion, three hundred ninety-three million, nine hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 12190697 24381394 48762788 60953485 121906970 243813940 304767425 609534850 1219069700 1913939429 3827878858 7655757716 9569697145 19139394290 38278788580 47848485725 95696971450 191393942900