Search a number
-
+
34115555552 = 25132331115019
BaseRepresentation
bin11111110001011100…
…100001000011100000
310021001120102210020112
4133301130201003200
51024332040234202
623401130430452
72315262303041
oct376134410340
9107046383215
1034115555552
1113517383911
126741292428
1332a8c15780
141918c7c8c8
15d4a0c7b52
hex7f17210e0

34115555552 has 96 divisors (see below), whose sum is σ = 77911787520. Its totient is φ = 14575080960.

The previous prime is 34115555497. The next prime is 34115555567. The reversal of 34115555552 is 25555551143.

It is a super-2 number, since 2×341155555522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 239099 + ... + 354117.

It is an arithmetic number, because the mean of its divisors is an integer number (811581120).

Almost surely, 234115555552 is an apocalyptic number.

34115555552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34115555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38955893760).

34115555552 is an abundant number, since it is smaller than the sum of its proper divisors (43796231968).

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

34115555552 is a wasteful number, since it uses less digits than its factorization.

34115555552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115096 (or 115088 counting only the distinct ones).

The product of its digits is 375000, while the sum is 41.

The spelling of 34115555552 in words is "thirty-four billion, one hundred fifteen million, five hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 31 32 46 52 62 92 104 124 184 208 248 299 368 403 416 496 598 713 736 806 992 1196 1426 1612 2392 2852 3224 4784 5704 6448 9269 9568 11408 12896 18538 22816 37076 74152 115019 148304 230038 296608 460076 920152 1495247 1840304 2645437 2990494 3565589 3680608 5290874 5980988 7131178 10581748 11961976 14262356 21163496 23923952 28524712 34390681 42326992 46352657 47847904 57049424 68781362 82008547 84653984 92705314 114098848 137562724 164017094 185410628 275125448 328034188 370821256 550250896 656068376 741642512 1066111111 1100501792 1312136752 1483285024 2132222222 2624273504 4264444444 8528888888 17057777776 34115555552