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34457781688 = 2311599761859
BaseRepresentation
bin100000000101110110…
…000000010110111000
310021221102101200020121
4200011312000112320
51031032143003223
623455113503024
72326616211631
oct400566002670
9107842350217
1034457781688
1113682579430
126817a11a74
133331aa9445
14194c4c4888
15d6a17815d
hex805d805b8

34457781688 has 64 divisors (see below), whose sum is σ = 70774560000. Its totient is φ = 15597753600.

The previous prime is 34457781679. The next prime is 34457781703. The reversal of 34457781688 is 88618775443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40113403 + ... + 40114261.

It is an arithmetic number, because the mean of its divisors is an integer number (1105852500).

Almost surely, 234457781688 is an apocalyptic number.

It is an amenable number.

34457781688 is an abundant number, since it is smaller than the sum of its proper divisors (36316778312).

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

34457781688 is a wasteful number, since it uses less digits than its factorization.

34457781688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2232 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The spelling of 34457781688 in words is "thirty-four billion, four hundred fifty-seven million, seven hundred eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 599 761 859 1198 1522 1718 2396 3044 3436 4792 6088 6589 6872 8371 9449 13178 16742 18898 26356 33484 37796 52712 66968 75592 455839 514541 653699 911678 1029082 1307398 1823356 2058164 2614796 3646712 4116328 5014229 5229592 5659951 7190689 10028458 11319902 14381378 20056916 22639804 28762756 40113832 45279608 57525512 391565701 783131402 1566262804 3132525608 4307222711 8614445422 17228890844 34457781688