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34644081136 = 247339715901
BaseRepresentation
bin100000010000111100…
…101011100111110000
310022102101221200001011
4200100330223213300
51031422341044021
623525410520304
72334340555000
oct402074534760
9108371850034
1034644081136
1113768753a15
12686a296094
1333615776c2
14196913c000
15d7b6c7de1
hex810f2b9f0

34644081136 has 80 divisors (see below), whose sum is σ = 78479550400. Its totient is φ = 14809132800.

The previous prime is 34644081133. The next prime is 34644081137. The reversal of 34644081136 is 63118044643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34644081133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170786 + ... + 2186686.

It is an arithmetic number, because the mean of its divisors is an integer number (980994380).

Almost surely, 234644081136 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 34644081136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39239775200).

34644081136 is an abundant number, since it is smaller than the sum of its proper divisors (43835469264).

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

34644081136 is a wasteful number, since it uses less digits than its factorization.

34644081136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16327 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 34644081136 in words is "thirty-four billion, six hundred forty-four million, eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 397 686 784 794 1372 1588 2744 2779 3176 5488 5558 6352 11116 15901 19453 22232 31802 38906 44464 63604 77812 111307 127208 136171 155624 222614 254416 272342 311248 445228 544684 779149 890456 1089368 1558298 1780912 2178736 3116596 5454043 6233192 6312697 10908086 12466384 12625394 21816172 25250788 43632344 44188879 50501576 87264688 88377758 101003152 176755516 309322153 353511032 618644306 707022064 1237288612 2165255071 2474577224 4330510142 4949154448 8661020284 17322040568 34644081136