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35030426816 = 2671119137217
BaseRepresentation
bin100000100111111110…
…011110010011000000
310100102022221001200102
4200213332132103000
51033220242124231
624032011341532
72350041500150
oct404776362300
9110368831612
1035030426816
1113946843170
1269577518a8
1333c3618008
1419a458a760
15da0590acb
hex827f9e4c0

35030426816 has 112 divisors (see below), whose sum is σ = 87122276352. Its totient is φ = 13576396800.

The previous prime is 35030426813. The next prime is 35030426833. The reversal of 35030426816 is 61862403053.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×350304268162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35030426816.

It is not an unprimeable number, because it can be changed into a prime (35030426813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922640 + ... + 959856.

Almost surely, 235030426816 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 35030426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43561138176).

35030426816 is an abundant number, since it is smaller than the sum of its proper divisors (52091849536).

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

35030426816 is a wasteful number, since it uses less digits than its factorization.

35030426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37438 (or 37428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 35030426816 its reverse (61862403053), we get a palindrome (96892829869).

The spelling of 35030426816 in words is "thirty-five billion, thirty million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 191 224 308 352 382 448 616 704 764 1232 1337 1528 2101 2464 2674 3056 4202 4928 5348 6112 8404 10696 12224 14707 16808 21392 29414 33616 37217 42784 58828 67232 74434 85568 117656 134464 148868 235312 260519 297736 409387 470624 521038 595472 818774 941248 1042076 1190944 1637548 2084152 2381888 2865709 3275096 4168304 5731418 6550192 7108447 8336608 11462836 13100384 14216894 16673216 22925672 26200768 28433788 45851344 49759129 56867576 78192917 91702688 99518258 113735152 156385834 183405376 199036516 227470304 312771668 398073032 454940608 547350419 625543336 796146064 1094700838 1251086672 1592292128 2189401676 2502173344 3184584256 4378803352 5004346688 8757606704 17515213408 35030426816