Search a number
-
+
8131842737250 = 2353291632293729
BaseRepresentation
bin111011001010101011110…
…0110010000010001100010
31001210101201002202101202220
41312111113212100101202
52031213003220043000
625143414511251510
71466335433536341
oct166252746202142
931711632671686
108131842737250
112655771257111
12ab4009819b96
1346caa24a045b
14201824787b58
15e17db9751a0
hex76557990462

8131842737250 has 128 divisors (see below), whose sum is σ = 21125803795200. Its totient is φ = 2080870041600.

The previous prime is 8131842737189. The next prime is 8131842737261. The reversal of 8131842737250 is 527372481318.

It is a super-2 number, since 2×81318427372502 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8131842737193 and 8131842737202.

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, 2398386 + ... + 4692114.

It is an arithmetic number, because the mean of its divisors is an integer number (165045342150).

Almost surely, 28131842737250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131842737250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562901897600).

8131842737250 is an abundant number, since it is smaller than the sum of its proper divisors (12993961057950).

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

8131842737250 is a wasteful number, since it uses less digits than its factorization.

8131842737250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293941 (or 2293931 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 8131842737250 in words is "eight trillion, one hundred thirty-one billion, eight hundred forty-two million, seven hundred thirty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 163 174 250 290 326 375 435 489 725 750 815 870 978 1450 1630 2175 2445 3625 4075 4350 4727 4890 7250 8150 9454 10875 12225 14181 20375 21750 23635 24450 28362 40750 47270 61125 70905 118175 122250 141810 236350 354525 590875 709050 1181750 1772625 2293729 3545250 4587458 6881187 11468645 13762374 22937290 34405935 57343225 66518141 68811870 114686450 133036282 172029675 199554423 286716125 332590705 344059350 373877827 399108846 573432250 665181410 747755654 860148375 997772115 1121633481 1662953525 1720296750 1869389135 1995544230 2243266962 3325907050 3738778270 4988860575 5608167405 8314767625 9346945675 9977721150 10842456983 11216334810 16629535250 18693891350 21684913966 24944302875 28040837025 32527370949 46734728375 49888605750 54212284915 56081674050 65054741898 93469456750 108424569830 140204185125 162636854745 271061424575 280408370250 325273709490 542122849150 813184273725 1355307122875 1626368547450 2710614245750 4065921368625 8131842737250