Search a number
-
+
34622655504 = 24323233134597
BaseRepresentation
bin100000001111101010…
…111100110000010000
310022100220122010121020
4200033222330300100
51031401344434004
623523323355440
72333660500413
oct401752746020
9108326563536
1034622655504
111375764a588
126863082b80
133359cb5408
141966361b7a
15d798948d9
hex80fabcc10

34622655504 has 80 divisors (see below), whose sum is σ = 93731893632. Its totient is φ = 10991647744.

The previous prime is 34622655499. The next prime is 34622655541. The reversal of 34622655504 is 40555622643.

It is a super-2 number, since 2×346226555042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189934 + ... + 324530.

Almost surely, 234622655504 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 34622655504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46865946816).

34622655504 is an abundant number, since it is smaller than the sum of its proper divisors (59109238128).

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

34622655504 is a wasteful number, since it uses less digits than its factorization.

34622655504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134864 (or 134858 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 34622655504 in words is "thirty-four billion, six hundred twenty-two million, six hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 233 276 368 466 552 699 932 1104 1398 1864 2796 3728 5359 5592 10718 11184 16077 21436 32154 42872 64308 85744 128616 134597 257232 269194 403791 538388 807582 1076776 1615164 2153552 3095731 3230328 6191462 6460656 9287193 12382924 18574386 24765848 31361101 37148772 49531696 62722202 74297544 94083303 125444404 148595088 188166606 250888808 376333212 501777616 721305323 752666424 1442610646 1505332848 2163915969 2885221292 4327831938 5770442584 8655663876 11540885168 17311327752 34622655504