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35426343372 = 22371928037919
BaseRepresentation
bin100000111111100100…
…110001100111001100
310101102220220201002120
4200333210301213030
51040023120441442
624135153252540
72362616643630
oct407744614714
9111386821076
1035426343372
111402a27a132
126a48264150
133457659a74
141a00daadc0
15dc51e94ec
hex83f9319cc

35426343372 has 96 divisors (see below), whose sum is σ = 99490406400. Its totient is φ = 9584453952.

The previous prime is 35426343371. The next prime is 35426343373. The reversal of 35426343372 is 27334362453.

35426343372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35426343371) and next prime (35426343373).

It is a super-3 number, since 3×354263433723 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (35426343371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4469629 + ... + 4477547.

It is an arithmetic number, because the mean of its divisors is an integer number (1036358400).

Almost surely, 235426343372 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 35426343372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49745203200).

35426343372 is an abundant number, since it is smaller than the sum of its proper divisors (64064063028).

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

35426343372 is a wasteful number, since it uses less digits than its factorization.

35426343372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10753 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 42.

The spelling of 35426343372 in words is "thirty-five billion, four hundred twenty-six million, three hundred forty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2803 5606 7919 8409 11212 15838 16818 19621 23757 31676 33636 39242 47514 53257 55433 58863 78484 95028 106514 110866 117726 150461 159771 166299 213028 221732 235452 300922 319542 332598 372799 451383 601844 639084 665196 745598 902766 1053227 1118397 1491196 1805532 2106454 2236794 3159681 4212908 4473588 6319362 12638724 22196957 44393914 66590871 88787828 133181742 155378699 266363484 310757398 421742183 466136097 621514796 843484366 932272194 1265226549 1686968732 1864544388 2530453098 2952195281 5060906196 5904390562 8856585843 11808781124 17713171686 35426343372