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34235502054 = 231317317511109
BaseRepresentation
bin11111111000100110…
…000100110111100110
310021100221010200220120
4133320212010313212
51030103242031204
623421053342410
72321246652225
oct377046046746
9107327120816
1034235502054
1113579059456
126775497a06
1332c7a21230
14192ab82cbc
15d558bc6d9
hex7f8984de6

34235502054 has 128 divisors (see below), whose sum is σ = 80774184960. Its totient is φ = 9573120000.

The previous prime is 34235502019. The next prime is 34235502199. The reversal of 34235502054 is 45020553243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30870052 + ... + 30871160.

It is an arithmetic number, because the mean of its divisors is an integer number (631048320).

Almost surely, 234235502054 is an apocalyptic number.

34235502054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34235502054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40387092480).

34235502054 is an abundant number, since it is smaller than the sum of its proper divisors (46538682906).

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

34235502054 is a wasteful number, since it uses less digits than its factorization.

34235502054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926.

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 34235502054 in words is "thirty-four billion, two hundred thirty-five million, five hundred two thousand, fifty-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 751 806 1054 1109 1209 1326 1502 1581 2218 2253 2418 3162 3327 4506 6654 6851 9763 12767 13702 14417 18853 19526 20553 23281 25534 28834 29289 34379 37706 38301 41106 43251 46562 56559 58578 68758 69843 76602 86502 103137 113118 139686 165971 206274 245089 302653 331942 395777 446927 490178 497913 584443 605306 735267 791554 832859 893854 907959 995826 1168886 1187331 1340781 1470534 1665718 1753329 1815918 2374662 2498577 2681562 3506658 4997154 5145101 7597759 10290202 10827167 14158603 15195518 15435303 21654334 22793277 25818629 28317206 30870606 32481501 42475809 45586554 51637258 64963002 77455887 84951618 154911774 184061839 335642177 368123678 438916693 552185517 671284354 877833386 1006926531 1104371034 1316750079 2013853062 2633500158 5705917009 11411834018 17117751027 34235502054