Search a number
-
+
26116157183160 = 23351123860215981
BaseRepresentation
bin1011111000000101001000…
…10001011001010010111000
310102110200100220020100100210
411330002210101121102320
511410341342214330120
6131313332540431120
75333554502216622
oct574024421312270
9112420326210323
1026116157183160
118359888979420
122b195a02484a0
131175987651a75
14664058c77c12
1530451b74bce0
hex17c0a44594b8

26116157183160 has 128 divisors (see below), whose sum is σ = 89187193013760. Its totient is φ = 6055920499200.

The previous prime is 26116157183143. The next prime is 26116157183201. The reversal of 26116157183160 is 6138175161162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430077631 + ... + 430138350.

It is an arithmetic number, because the mean of its divisors is an integer number (696774945420).

Almost surely, 226116157183160 is an apocalyptic number.

26116157183160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26116157183160 is an abundant number, since it is smaller than the sum of its proper divisors (63071035830600).

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

26116157183160 is a wasteful number, since it uses less digits than its factorization.

26116157183160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860216029 (or 860216025 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 26116157183160 in words is "twenty-six trillion, one hundred sixteen billion, one hundred fifty-seven million, one hundred eighty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 860215981 1720431962 2580647943 3440863924 4301079905 5161295886 6881727848 8602159810 9462375791 10322591772 12903239715 17204319620 18924751582 19784967563 20645183544 25806479430 28387127373 34408639240 37849503164 39569935126 47311878955 51612958860 56774254746 59354902689 75699006328 79139870252 94623757910 98924837815 103225917720 113548509492 118709805378 141935636865 158279740504 189247515820 197849675630 217634643193 227097018984 237419610756 283871273730 296774513445 378495031640 395699351260 435269286386 474839221512 567742547460 593549026890 652903929579 791398702520 870538572772 1088173215965 1135485094920 1187098053780 1305807859158 1741077145544 2176346431930 2374196107560 2611615718316 3264519647895 4352692863860 5223231436632 6529039295790 8705385727720 13058078591580 26116157183160