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34101848802 = 23721710876277
BaseRepresentation
bin11111110000101000…
…001110101011100010
310021000121122102010010
4133300220032223202
51024320033130202
623355520545350
72315034634500
oct376050165342
9107017572103
1034101848802
111350a67181a
126738782256
1332a6126978
141917111670
15d48cbb76c
hex7f0a0eae2

34101848802 has 96 divisors (see below), whose sum is σ = 84096672768. Its totient is φ = 9160349184.

The previous prime is 34101848791. The next prime is 34101848821. The reversal of 34101848802 is 20884810143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429688 + ... + 5435964.

It is an arithmetic number, because the mean of its divisors is an integer number (876007008).

Almost surely, 234101848802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101848802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42048336384).

34101848802 is an abundant number, since it is smaller than the sum of its proper divisors (49994823966).

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

34101848802 is a wasteful number, since it uses less digits than its factorization.

34101848802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 34101848802 in words is "thirty-four billion, one hundred one million, eight hundred forty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1087 1666 2174 2499 3261 4998 6277 6522 7609 12554 15218 18479 18831 22827 36958 37662 43939 45654 53263 55437 87878 106526 106709 110874 129353 131817 159789 213418 258706 263634 307573 319578 320127 388059 615146 640254 746963 776118 905471 922719 1493926 1810942 1845438 2240889 2716413 4481778 5228741 5432826 6823099 10457482 13646198 15686223 20469297 31372446 40938594 47761693 95523386 115992683 143285079 231985366 286570158 334331851 347978049 668663702 695956098 811948781 1002995553 1623897562 2005991106 2435846343 4871692686 5683641467 11367282934 17050924401 34101848802