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268190980699572 = 223277118182814561
BaseRepresentation
bin111100111110101100010100…
…001000101111010110110100
31022011120210210120021201200100
4330332230110020233112310
5240123020112024341242
62350221122523114100
7110330105341532130
oct7476542410572664
91264523716251610
10268190980699572
11784aa179975997
12260b5260972930
13b6853bb2a3518
144a32726cc03c0
1521013e22db54c
hexf3eb1422f5b4

268190980699572 has 144 divisors (see below), whose sum is σ = 790027070886144. Its totient is φ = 75129368832000.

The previous prime is 268190980699459. The next prime is 268190980699573. The reversal of 268190980699572 is 275996089091862.

268190980699572 is a `hidden beast` number, since 26 + 8 + 19 + 0 + 9 + 8 + 0 + 6 + 9 + 9 + 572 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268190980699491 and 268190980699500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268190980699573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38168829 + ... + 44645732.

It is an arithmetic number, because the mean of its divisors is an integer number (5486299103376).

Almost surely, 2268190980699572 is an apocalyptic number.

It is an amenable number.

268190980699572 is an abundant number, since it is smaller than the sum of its proper divisors (521836090186572).

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

268190980699572 is a wasteful number, since it uses less digits than its factorization.

268190980699572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82814830 (or 82814825 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 268190980699572 in words is "two hundred sixty-eight trillion, one hundred ninety billion, nine hundred eighty million, six hundred ninety-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 181 213 252 284 362 426 497 543 639 724 852 994 1086 1267 1278 1491 1629 1988 2172 2534 2556 2982 3258 3801 4473 5068 5964 6516 7602 8946 11403 12851 15204 17892 22806 25702 38553 45612 51404 77106 89957 115659 154212 179914 231318 269871 359828 462636 539742 809613 1079484 1619226 3238452 82814561 165629122 248443683 331258244 496887366 579701927 745331049 993774732 1159403854 1490662098 1739105781 2318807708 2981324196 3478211562 5217317343 5879833831 6956423124 10434634686 11759667662 14989435541 17639501493 20869269372 23519335324 29978871082 35279002986 41158836817 44968306623 52918504479 59957742164 70558005972 82317673634 89936613246 104926048787 105837008958 123476510451 134904919869 164635347268 179873226492 209852097574 211674017916 246953020902 269809839738 314778146361 370429531353 419704195148 493906041804 539619679476 629556292722 740859062706 944334439083 1064249923411 1259112585444 1481718125412 1888668878166 2128499846822 3192749770233 3777337756332 4256999693644 6385499540466 7449749463877 9578249310699 12770999080932 14899498927754 19156498621398 22349248391631 29798997855508 38312997242796 44698496783262 67047745174893 89396993566524 134095490349786 268190980699572