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35423202680070 = 23517233338987961
BaseRepresentation
bin10000000110111100110110…
…11010011001110100000110
311122102102110220022112021020
420003132123122121310012
514120333204341230240
6203201110013532010
710314145661521062
oct1003363332316406
9148372426275236
1035423202680070
1110317994482967
123b81306aa4006
13169c516bb5b2a
148a66c66a2aa2
1541668addc0d0
hex20379b699d06

35423202680070 has 128 divisors (see below), whose sum is σ = 90430650011520. Its totient is φ = 8849659822080.

The previous prime is 35423202679979. The next prime is 35423202680137. The reversal of 35423202680070 is 7008620232453.

It is a super-3 number, since 3×354232026800703 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 402670890 + ... + 402758850.

It is an arithmetic number, because the mean of its divisors is an integer number (706489453215).

Almost surely, 235423202680070 is an apocalyptic number.

35423202680070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35423202680070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45215325005760).

35423202680070 is an abundant number, since it is smaller than the sum of its proper divisors (55007447331450).

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

35423202680070 is a wasteful number, since it uses less digits than its factorization.

35423202680070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91610.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 35423202680070 in words is "thirty-five trillion, four hundred twenty-three billion, two hundred two million, six hundred eighty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 233 255 466 510 699 1165 1398 2330 3389 3495 3961 6778 6990 7922 10167 11883 16945 19805 20334 23766 33890 39610 50835 57613 59415 87961 101670 115226 118830 172839 175922 263883 288065 345678 439805 527766 576130 789637 864195 879610 1319415 1495337 1579274 1728390 2368911 2638830 2990674 3948185 4486011 4737822 7476685 7896370 8972022 11844555 13423829 14953370 20494913 22430055 23689110 26847658 40271487 40989826 44860110 61484739 67119145 80542974 102474565 122969478 134238290 201357435 204949130 298099829 307423695 348413521 402714870 596199658 614847390 696827042 894299487 1045240563 1490499145 1742067605 1788598974 2090481126 2980998290 3484135210 4471497435 5067697093 5226202815 8942994870 10135394186 10452405630 15203091279 25338485465 30406182558 50676970930 69457260157 76015456395 138914520314 152030912790 208371780471 347286300785 416743560942 694572601570 1041858902355 1180773422669 2083717804710 2361546845338 3542320268007 5903867113345 7084640536014 11807734226690 17711601340035 35423202680070