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5150381742 = 23211531633011
BaseRepresentation
bin1001100101111110…
…01001011010101110
3111021221100111112100
410302333021122232
541021444203432
62211022315530
7241426344132
oct46277113256
914257314470
105150381742
112203290040
12bb8a28ba6
1364106247c
1436c0493c2
1520225e07c
hex132fc96ae

5150381742 has 96 divisors (see below), whose sum is σ = 12483559296. Its totient is φ = 1521374400.

The previous prime is 5150381741. The next prime is 5150381767. The reversal of 5150381742 is 2471830515.

5150381742 is a `hidden beast` number, since 5 + 1 + 503 + 81 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5150381697 and 5150381706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5150381741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709017 + ... + 1712027.

It is an arithmetic number, because the mean of its divisors is an integer number (130037076).

Almost surely, 25150381742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5150381742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241779648).

5150381742 is an abundant number, since it is smaller than the sum of its proper divisors (7333177554).

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

5150381742 is a wasteful number, since it uses less digits than its factorization.

5150381742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5150381742 is about 71766.1601452941. The cubic root of 5150381742 is about 1726.9501704913.

The spelling of 5150381742 in words is "five billion, one hundred fifty million, three hundred eighty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 163 198 318 326 477 489 583 954 978 1166 1467 1749 1793 2934 3011 3498 3586 5247 5379 6022 8639 9033 10494 10758 16137 17278 18066 25917 27099 32274 33121 51834 54198 66242 77751 95029 99363 155502 159583 190058 198726 285087 298089 319166 478749 490793 570174 596178 855261 957498 981586 1436247 1472379 1710522 1755413 2872494 2944758 3510826 4417137 5266239 5398723 8834274 10532478 10797446 15798717 16196169 26012029 31597434 32392338 48588507 52024058 78036087 97177014 156072174 234108261 286132319 468216522 572264638 858396957 1716793914 2575190871 5150381742