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34849357092 = 22321137264283
BaseRepresentation
bin100000011101001011…
…101111110100100100
310022221201012202201100
4200131023233310210
51032332413411332
624002022400100
72342412435114
oct403513576444
9108851182640
1034849357092
111386360a870
126906b90030
133394c5b274
1419884d5044
15d8e72567c
hex81d2efd24

34849357092 has 108 divisors (see below), whose sum is σ = 98768766096. Its totient is φ = 10274834880.

The previous prime is 34849357073. The next prime is 34849357099. The reversal of 34849357092 is 29075394843.

34849357092 is a `hidden beast` number, since 3 + 484 + 9 + 3 + 5 + 70 + 92 = 666.

34849357092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34849357099) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 509983 + ... + 574265.

It is an arithmetic number, because the mean of its divisors is an integer number (914525612).

Almost surely, 234849357092 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 34849357092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49384383048).

34849357092 is an abundant number, since it is smaller than the sum of its proper divisors (63919409004).

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

34849357092 is a wasteful number, since it uses less digits than its factorization.

34849357092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64378 (or 64336 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34849357092 in words is "thirty-four billion, eight hundred forty-nine million, three hundred fifty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1369 1628 2442 2738 3663 4107 4884 5476 7326 8214 12321 14652 15059 16428 24642 30118 45177 49284 60236 64283 90354 128566 135531 180708 192849 257132 271062 385698 542124 578547 707113 771396 1157094 1414226 2121339 2314188 2378471 2828452 4242678 4756942 6364017 7135413 8485356 9513884 12728034 14270826 21406239 25456068 26163181 28541652 42812478 52326362 78489543 85624956 88003427 104652724 156979086 176006854 235468629 264010281 313958172 352013708 470937258 528020562 792030843 941874516 968037697 1056041124 1584061686 1936075394 2904113091 3168123372 3872150788 5808226182 8712339273 11616452364 17424678546 34849357092