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30741383628 = 22331783201731
BaseRepresentation
bin11100101000010101…
…000100100111001100
32221100102100002112000
4130220111010213030
51000424243234003
622042234312300
72135541310104
oct345025044714
987312302460
1030741383628
111204578957a
125b5b288690
132b8bb63a37
1416b8ab6204
15bedc731a3
hex7285449cc

30741383628 has 96 divisors (see below), whose sum is σ = 85405259520. Its totient is φ = 9528111360.

The previous prime is 30741383627. The next prime is 30741383641. The reversal of 30741383628 is 82638314703.

30741383628 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 13 + 8 + 3 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (30741383627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51523 + ... + 253253.

It is an arithmetic number, because the mean of its divisors is an integer number (889638120).

Almost surely, 230741383628 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 30741383628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42702629760).

30741383628 is an abundant number, since it is smaller than the sum of its proper divisors (54663875892).

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

30741383628 is a wasteful number, since it uses less digits than its factorization.

30741383628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201844 (or 201836 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30741383628 in words is "thirty billion, seven hundred forty-one million, three hundred eighty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 76194 152388 201731 403462 605193 806924 1210386 1815579 2420772 3429427 3631158 5446737 6858854 7262316 10288281 10893474 13717708 16743673 20576562 21786948 30864843 33487346 41153124 50231019 61729686 66974692 92594529 100462038 123459372 150693057 185189058 200924076 284642441 301386114 370378116 452079171 569284882 602772228 853927323 904158342 1138569764 1707854646 1808316684 2561781969 3415709292 5123563938 7685345907 10247127876 15370691814 30741383628