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34638554412 = 223271126574703
BaseRepresentation
bin100000010000100111…
…100110010100101100
310022102000112212210200
4200100213212110230
51031414432220122
623525052233500
72334242566050
oct402047462454
9108360485720
1034638554412
1113765619680
12686846b890
133360390c57
1419684ddc60
15d7ae855ac
hex8109e652c

34638554412 has 144 divisors (see below), whose sum is σ = 109228234752. Its totient is φ = 8991728640.

The previous prime is 34638554399. The next prime is 34638554417. The reversal of 34638554412 is 21445583643.

34638554412 is a `hidden beast` number, since 3 + 4 + 638 + 5 + 5 + 4 + 4 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (34638554417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7362853 + ... + 7367555.

It is an arithmetic number, because the mean of its divisors is an integer number (758529408).

Almost surely, 234638554412 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 34638554412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54614117376).

34638554412 is an abundant number, since it is smaller than the sum of its proper divisors (74589680340).

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

34638554412 is a wasteful number, since it uses less digits than its factorization.

34638554412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7383 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 34638554412 in words is "thirty-four billion, six hundred thirty-eight million, five hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2657 2772 4703 5314 7971 9406 10628 14109 15942 18599 18812 23913 28218 29227 31884 32921 37198 42327 47826 51733 55797 56436 58454 65842 74396 84654 87681 95652 98763 103466 111594 116908 131684 155199 167391 169308 175362 197526 204589 206932 223188 263043 296289 310398 334782 350724 362131 395052 409178 465597 526086 592578 613767 620796 669564 724262 818356 931194 1052172 1086393 1185156 1227534 1448524 1841301 1862388 2172786 2455068 3259179 3682602 4345572 6518358 7365204 12495871 13036716 24991742 37487613 49983484 74975226 87471097 112462839 137454581 149950452 174942194 224925678 262413291 274909162 349884388 412363743 449851356 524826582 549818324 787239873 824727486 962182067 1049653164 1237091229 1574479746 1649454972 1924364134 2474182458 2886546201 3148959492 3848728268 4948364916 5773092402 8659638603 11546184804 17319277206 34638554412