Search a number
-
+
10291391541270 = 23257126751128879
BaseRepresentation
bin1001010111000010011010…
…1111001011000000010110
31100102211212202211021012200
42111300212233023000112
52322103232213310040
633515444445025330
72111346163520430
oct225604657130026
940384782737180
1010291391541270
113308611257914
1211a265a255246
13598621676268
1427816ac5b650
1512ca819b7630
hex95c26bcb016

10291391541270 has 96 divisors (see below), whose sum is σ = 30580613406720. Its totient is φ = 2352281256000.

The previous prime is 10291391541229. The next prime is 10291391541337. The reversal of 10291391541270 is 7214519319201.

10291391541270 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 1 + 39 + 1 + 541 + 2 + 70 = 666.

It is a super-2 number, since 2×102913915412702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79788691 + ... + 79917569.

It is an arithmetic number, because the mean of its divisors is an integer number (318548056320).

Almost surely, 210291391541270 is an apocalyptic number.

10291391541270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10291391541270 is an abundant number, since it is smaller than the sum of its proper divisors (20289221865450).

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

10291391541270 is a wasteful number, since it uses less digits than its factorization.

10291391541270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255650 (or 255647 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10291391541270 in words is "ten trillion, two hundred ninety-one billion, three hundred ninety-one million, five hundred forty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 126751 128879 253502 257758 380253 386637 633755 644395 760506 773274 887257 902153 1140759 1159911 1267510 1288790 1774514 1804306 1901265 1933185 2281518 2319822 2661771 2706459 3802530 3866370 4436285 4510765 5323542 5412918 5703795 5799555 7985313 8119377 8872570 9021530 11407590 11599110 13308855 13532295 15970626 16238754 26617710 27064590 39926565 40596885 79853130 81193770 16335542129 32671084258 49006626387 81677710645 98013252774 114348794903 147019879161 163355421290 228697589806 245033131935 294039758322 343046384709 490066263870 571743974515 686092769418 735099395805 1029139154127 1143487949030 1470198791610 1715231923545 2058278308254 3430463847090 5145695770635 10291391541270