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70083000078 = 23713319294457
BaseRepresentation
bin100000101000101000…
…1011011011100001110
320200220012112021120120
41001101101123130032
52122012222000303
652110133525410
75030502446250
oct1012121333416
9220805467516
1070083000078
11277a4032283
12116ba7a3866
1367bb6b8420
14356ba5dcd0
151c52a58553
hex105145b70e

70083000078 has 128 divisors (see below), whose sum is σ = 178308587520. Its totient is φ = 17863925760.

The previous prime is 70083000059. The next prime is 70083000137. The reversal of 70083000078 is 87000038007.

70083000078 is a nontrivial binomial coefficient, being equal to C(374388, 2).

It is a super-3 number, since 3×700830000783 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15722026 + ... + 15726482.

It is an arithmetic number, because the mean of its divisors is an integer number (1393035840).

Almost surely, 270083000078 is an apocalyptic number.

70083000078 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

70083000078 is the 374387-th triangular number and also the 187194-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70083000078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154293760).

70083000078 is an abundant number, since it is smaller than the sum of its proper divisors (108225587442).

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

70083000078 is a wasteful number, since it uses less digits than its factorization.

70083000078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 70083000078 in words is "seventy billion, eighty-three million, seventy-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 929 1209 1302 1858 2418 2787 2821 4457 5574 5642 6503 8463 8914 12077 13006 13371 16926 19509 24154 26742 28799 31199 36231 39018 57598 57941 62398 72462 84539 86397 93597 115882 138167 169078 172794 173823 187194 201593 253617 276334 347646 374387 403186 405587 414501 507234 604779 748774 811174 829002 967169 1123161 1209558 1216761 1796171 1934338 2246322 2433522 2620709 2901507 3592342 4140553 5241418 5388513 5803014 7862127 8281106 10777026 12421659 12573197 15724254 24843318 25146394 28983871 37719591 53827189 57967742 75439182 86951613 107654378 128357143 161481567 173903226 256714286 322963134 376790323 385071429 753580646 770142858 898500001 1130370969 1668642859 1797000002 2260741938 2695500003 3337285718 5005928577 5391000006 10011857154 11680500013 23361000026 35041500039 70083000078