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21107398469712 = 24323191330730269
BaseRepresentation
bin1001100110010011100101…
…11111001110100001010000
32202201211212220001110212020
410303021302333032201100
510231310423002012322
6112520334402331440
74305650003504652
oct463116277164120
982654786043766
1021107398469712
1167a8663192905
12244a909059b80
13ba155aabbb29
1452d8641686d2
152690ba11105c
hex133272fce850

21107398469712 has 160 divisors (see below), whose sum is σ = 57215286558720. Its totient is φ = 6692414615040.

The previous prime is 21107398469683. The next prime is 21107398469723. The reversal of 21107398469712 is 21796489370112.

It is a super-3 number, since 3×211073984697123 (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697312114 + ... + 697342382.

It is an arithmetic number, because the mean of its divisors is an integer number (357595540992).

Almost surely, 221107398469712 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 21107398469712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28607643279360).

21107398469712 is an abundant number, since it is smaller than the sum of its proper divisors (36107888089008).

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

21107398469712 is a wasteful number, since it uses less digits than its factorization.

21107398469712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33801 (or 33795 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 21107398469712 in words is "twenty-one trillion, one hundred seven billion, three hundred ninety-eight million, four hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 191 276 368 382 552 573 764 1104 1146 1528 2292 3056 3307 4393 4584 6614 8786 9168 9921 13179 13228 17572 19842 26358 26456 30269 35144 39684 52716 52912 60538 70288 76061 79368 90807 105432 121076 152122 158736 181614 210864 228183 242152 304244 363228 456366 484304 608488 631637 696187 726456 912732 1216976 1263274 1392374 1452912 1825464 1894911 2088561 2526548 2784748 3650928 3789822 4177122 5053096 5569496 5781379 7579644 8354244 10106192 11138992 11562758 14527651 15159288 16708488 17344137 23125516 29055302 30318576 33416976 34688274 43582953 46251032 58110604 69376548 87165906 92502064 100099583 116221208 132971717 138753096 174331812 200199166 232442416 265943434 277506192 300298749 348663624 398915151 400398332 531886868 600597498 697327248 797830302 800796664 1063773736 1201194996 1595660604 1601593328 2127547472 2302290409 2402389992 3191321208 4604580818 4804779984 6382642416 6906871227 9209161636 13813742454 18418323272 19119020353 27627484908 36836646544 38238040706 55254969816 57357061059 76476081412 110509939632 114714122118 152952162824 229428244236 305904325648 439737468119 458856488472 879474936238 917712976944 1319212404357 1758949872476 2638424808714 3517899744952 5276849617428 7035799489904 10553699234856 21107398469712