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5185226772 = 2233118834943
BaseRepresentation
bin1001101010001000…
…00100100000010100
3111101100220210221000
410311010010200110
541104404224042
62214305223300
7242331462135
oct46504044024
914340823830
105185226772
112220a1a690
121008631b30
1364834282b
14372919c8c
1520534374c
hex135104814

5185226772 has 96 divisors (see below), whose sum is σ = 14684866560. Its totient is φ = 1569183840.

The previous prime is 5185226759. The next prime is 5185226801. The reversal of 5185226772 is 2776225815.

5185226772 is a `hidden beast` number, since 51 + 8 + 522 + 6 + 7 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046533 + ... + 1051475.

It is an arithmetic number, because the mean of its divisors is an integer number (152967360).

Almost surely, 25185226772 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 5185226772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342433280).

5185226772 is an abundant number, since it is smaller than the sum of its proper divisors (9499639788).

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

5185226772 is a wasteful number, since it uses less digits than its factorization.

5185226772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5842 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 5185226772 is about 72008.5187460484. The cubic root of 5185226772 is about 1730.8359945418.

The spelling of 5185226772 in words is "five billion, one hundred eighty-five million, two hundred twenty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 883 1188 1766 2649 3532 4943 5298 7947 9713 9886 10596 14829 15894 19426 19772 23841 29139 29658 31788 38852 44487 47682 54373 58278 59316 87417 88974 95364 108746 116556 133461 163119 174834 177948 217492 262251 266922 326238 349668 489357 524502 533844 652476 978714 1049004 1468071 1957428 2936142 4364669 5872284 8729338 13094007 17458676 26188014 39282021 48011359 52376028 78564042 96022718 117846063 144034077 157128084 192045436 235692126 288068154 432102231 471384252 576136308 864204462 1296306693 1728408924 2592613386 5185226772