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34674643542 = 23711216674093
BaseRepresentation
bin100000010010110001…
…010001001001010110
310022111112110101210010
4200102301101021112
51032003202043132
623532421541050
72335161415140
oct402261211126
9108445411703
1034674643542
1113783a28a00
126878574786
1333679b8676
14196d215c90
15d7e2136cc
hex812c51256

34674643542 has 96 divisors (see below), whose sum is σ = 87190016256. Its totient is φ = 8998799040.

The previous prime is 34674643529. The next prime is 34674643561. The reversal of 34674643542 is 24534647643.

It is a junction number, because it is equal to n+sod(n) for n = 34674643491 and 34674643500.

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 47 ways as a sum of consecutive naturals, for example, 8469648 + ... + 8473740.

It is an arithmetic number, because the mean of its divisors is an integer number (908229336).

Almost surely, 234674643542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34674643542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43595008128).

34674643542 is an abundant number, since it is smaller than the sum of its proper divisors (52515372714).

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

34674643542 is a wasteful number, since it uses less digits than its factorization.

34674643542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5783 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 48.

The spelling of 34674643542 in words is "thirty-four billion, six hundred seventy-four million, six hundred forty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1667 1694 2541 3334 4093 5001 5082 8186 10002 11669 12279 18337 23338 24558 28651 35007 36674 45023 55011 57302 70014 85953 90046 110022 128359 135069 171906 201707 256718 270138 315161 385077 403414 495253 605121 630322 770154 945483 990506 1210242 1411949 1485759 1890966 2823898 2971518 3466771 4235847 6823031 6933542 8471694 10400313 13646062 20469093 20800626 40938186 47761217 75053341 95522434 143283651 150106682 225160023 286567302 450320046 525373387 825586751 1050746774 1576120161 1651173502 2476760253 3152240322 4953520506 5779107257 11558214514 17337321771 34674643542