Search a number
-
+
1025479352112 = 2435910117920029
BaseRepresentation
bin11101110110000110101…
…01010001111100110000
310122000221102022121202220
432323003111101330300
5113300140203231422
62103033153241040
7134042222446305
oct16730325217460
93560842277686
101025479352112
113659a33a6296
121468b2b63180
1375918c07b57
14378c232d0ac
151ba1d573e5c
hexeec3551f30

1025479352112 has 160 divisors (see below), whose sum is σ = 2736065952000. Its totient is φ = 330830515200.

The previous prime is 1025479352099. The next prime is 1025479352129. The reversal of 1025479352112 is 2112539745201.

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, 51189714 + ... + 51209742.

It is an arithmetic number, because the mean of its divisors is an integer number (17100412200).

Almost surely, 21025479352112 is an apocalyptic number.

1025479352112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025479352112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368032976000).

1025479352112 is an abundant number, since it is smaller than the sum of its proper divisors (1710586599888).

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

1025479352112 is a wasteful number, since it uses less digits than its factorization.

1025479352112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1025479352112 in words is "one trillion, twenty-five billion, four hundred seventy-nine million, three hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 101 118 177 179 202 236 303 354 358 404 472 537 606 708 716 808 944 1074 1212 1416 1432 1616 2148 2424 2832 2864 4296 4848 5959 8592 10561 11918 17877 18079 20029 21122 23836 31683 35754 36158 40058 42244 47672 54237 60087 63366 71508 72316 80116 84488 95344 108474 120174 126732 143016 144632 160232 168976 216948 240348 253464 286032 289264 320464 433896 480696 506928 867792 961392 1066661 1181711 2022929 2133322 2363422 3199983 3545133 3585191 4045858 4266644 4726844 6068787 6399966 7090266 7170382 8091716 8533288 9453688 10755573 12137574 12799932 14180532 14340764 16183432 17066576 18907376 21511146 24275148 25599864 28361064 28681528 32366864 43022292 48550296 51199728 56722128 57363056 86044584 97100592 119352811 172089168 211526269 238705622 358058433 362104291 423052538 477411244 634578807 716116866 724208582 846105076 954822488 1086312873 1269157614 1432233732 1448417164 1692210152 1909644976 2172625746 2538315228 2864467464 2896834328 3384420304 4345251492 5076630456 5728934928 5793668656 8690502984 10153260912 17381005968 21364153169 42728306338 64092459507 85456612676 128184919014 170913225352 256369838028 341826450704 512739676056 1025479352112