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34850091096 = 23322327137757
BaseRepresentation
bin100000011101001110…
…100011000001011000
310022221202121001120200
4200131032203001120
51032333110403341
624002050222200
72342421613062
oct403516430130
9108852531520
1034850091096
1113863a71287
126907284960
1333951573a2
141988646732
15d8e81cdb6
hex81d3a3058

34850091096 has 96 divisors (see below), whose sum is σ = 98538392160. Its totient is φ = 11106095616.

The previous prime is 34850091043. The next prime is 34850091127. The reversal of 34850091096 is 69019005843.

It is a happy number.

34850091096 is a `hidden beast` number, since 3 + 48 + 500 + 9 + 10 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4488850 + ... + 4496606.

It is an arithmetic number, because the mean of its divisors is an integer number (1026441585).

Almost surely, 234850091096 is an apocalyptic number.

34850091096 is a gapful number since it is divisible by the number (36) 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 34850091096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49269196080).

34850091096 is an abundant number, since it is smaller than the sum of its proper divisors (63688301064).

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

34850091096 is a wasteful number, since it uses less digits than its factorization.

34850091096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 34850091096 in words is "thirty-four billion, eight hundred fifty million, ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2713 5426 7757 8139 10852 15514 16278 21704 23271 24417 31028 32556 46542 48834 62056 62399 65112 69813 93084 97668 124798 139626 178411 186168 187197 195336 249596 279252 356822 374394 499192 535233 558504 561591 713644 748788 1070466 1123182 1427288 1497576 1605699 2140932 2246364 3211398 4281864 4492728 6422796 12845592 21044741 42089482 63134223 84178964 126268446 168357928 189402669 252536892 378805338 484029043 505073784 757610676 968058086 1452087129 1515221352 1936116172 2904174258 3872232344 4356261387 5808348516 8712522774 11616697032 17425045548 34850091096