Search a number
-
+
35714974540 = 22572341270527
BaseRepresentation
bin100001010000110001…
…110100001101001100
310102012001000200121211
4201100301310031030
51041121013141130
624223543504204
72403023163130
oct412061641514
9112161020554
1035714974540
1114168198a93
126b08a58064
1334a23a6c3b
141a2b4613c0
15de070ea2a
hex850c7434c

35714974540 has 96 divisors (see below), whose sum is σ = 91624587264. Its totient is φ = 11427018240.

The previous prime is 35714974531. The next prime is 35714974567. The reversal of 35714974540 is 4547941753.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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, 3244 + ... + 267283.

It is an arithmetic number, because the mean of its divisors is an integer number (954422784).

Almost surely, 235714974540 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 35714974540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812293632).

35714974540 is an abundant number, since it is smaller than the sum of its proper divisors (55909612724).

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

35714974540 is a wasteful number, since it uses less digits than its factorization.

35714974540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270607 (or 270605 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 35714974540 in words is "thirty-five billion, seven hundred fourteen million, nine hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 70 82 92 115 140 161 164 205 230 287 322 410 460 574 644 805 820 943 1148 1435 1610 1886 2870 3220 3772 4715 5740 6601 9430 13202 18860 26404 33005 66010 132020 270527 541054 1082108 1352635 1893689 2705270 3787378 5410540 6222121 7574756 9468445 11091607 12444242 18936890 22183214 24888484 31110605 37873780 43554847 44366428 55458035 62221210 77641249 87109694 110916070 124442420 155282498 174219388 217774235 221832140 255106961 310564996 388206245 435548470 510213922 776412490 871096940 1020427844 1275534805 1552824980 1785748727 2551069610 3571497454 5102139220 7142994908 8928743635 17857487270 35714974540