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83121141342426 = 231123509916111743
BaseRepresentation
bin10010111001100100100110…
…000110100110000011011010
3101220022022012020221010001020
4102321210212012212003122
541343324044140424201
6452441154123303310
723336206240601655
oct2271444606460332
9356268166833036
1083121141342426
1124537529362440
1293a552607ab36
13374c3a0173a15
14167512861489c
15992289433a36
hex4b99261a60da

83121141342426 has 128 divisors (see below), whose sum is σ = 189648861511680. Its totient is φ = 24041078054400.

The previous prime is 83121141342397. The next prime is 83121141342451. The reversal of 83121141342426 is 62424314112138.

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, 7078350711 + ... + 7078362453.

It is an arithmetic number, because the mean of its divisors is an integer number (1481631730560).

Almost surely, 283121141342426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83121141342426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94824430755840).

83121141342426 is an abundant number, since it is smaller than the sum of its proper divisors (106527720169254).

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

83121141342426 is a wasteful number, since it uses less digits than its factorization.

83121141342426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21452.

The product of its digits is 221184, while the sum is 42.

The spelling of 83121141342426 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred forty-one million, three hundred forty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 509 759 1018 1518 1527 3054 5599 9161 11198 11707 11743 16797 18322 23414 23486 27483 33594 35121 35229 54966 70242 70458 100771 128777 129173 201542 210703 257554 258346 270089 302313 386331 387519 421406 540178 604626 632109 772662 775038 810267 1264218 1620534 2317733 2970979 4635466 4662949 5941958 5977187 6953199 8912937 9325898 11954374 13906398 13988847 17825874 17931561 27977694 35863122 51292439 65749057 102584878 107247827 107577623 131498114 137475301 153877317 197247171 214495654 215155246 274950602 307754634 321743481 322732869 394494342 412425903 643486962 645465738 824851806 1179726097 1183353853 1512228311 2359452194 2366707706 2474285329 3024456622 3539178291 3550061559 4536684933 4948570658 7078356582 7100123118 7422855987 9073369866 14845711974 27217138619 54434277238 54757010107 81651415857 109514020214 163302831714 164271030321 328542060642 602327111177 1204654222354 1259411232461 1806981333531 2518822464922 3613962667062 3778233697383 7556467394766 13853523557071 27707047114142 41560570671213 83121141342426