Search a number
-
+
10156662244060 = 22519226322132417
BaseRepresentation
bin1001001111001100100000…
…1111101100001011011100
31022221222010020212211102221
42103303020033230023130
52312401321013302220
633333523424355124
72065536362424523
oct223631017541334
938858106784387
1010156662244060
1132664640647a2
121180519775aa4
135889cca53817
142718296394ba
151292e88709aa
hex93cc83ec2dc

10156662244060 has 144 divisors (see below), whose sum is σ = 22615807870656. Its totient is φ = 3830887839744.

The previous prime is 10156662244031. The next prime is 10156662244081. The reversal of 10156662244060 is 6044226665101.

10156662244060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10156662243998 and 10156662244016.

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, 4202175972 + ... + 4202178388.

It is an arithmetic number, because the mean of its divisors is an integer number (157054221324).

Almost surely, 210156662244060 is an apocalyptic number.

10156662244060 is a gapful number since it is divisible by the number (10) 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 10156662244060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307903935328).

10156662244060 is an abundant number, since it is smaller than the sum of its proper divisors (12459145626596).

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

10156662244060 is a wasteful number, since it uses less digits than its factorization.

10156662244060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 10156662244060 in words is "ten trillion, one hundred fifty-six billion, six hundred sixty-two million, two hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 263 361 380 526 722 1052 1315 1444 1805 2213 2417 2630 3610 4426 4834 4997 5260 7220 8852 9668 9994 11065 12085 19988 22130 24170 24985 42047 44260 45923 48340 49970 84094 91846 94943 99940 168188 183692 189886 210235 229615 379772 420470 459230 474715 582019 635671 798893 840940 872537 918460 949430 1164038 1271342 1597786 1745074 1898860 2328076 2542684 2910095 3178355 3195572 3490148 3994465 4362685 5348821 5820190 6356710 7988930 8725370 10697642 11058361 11640380 12077749 12713420 15977860 17450740 21395284 22116722 24155498 26744105 44233444 48310996 53488210 55291805 60388745 101627599 106976420 110583610 120777490 203255198 210108859 221167220 229477231 241554980 406510396 420217718 458954462 508137995 840435436 917908924 1016275990 1050544295 1147386155 1406739923 1930924381 2032551980 2101088590 2294772310 2813479846 3861848762 4202177180 4589544620 5626959692 7033699615 7723697524 9654621905 14067399230 19309243810 26728058537 28134798460 38618487620 53456117074 106912234148 133640292685 267280585370 507833112203 534561170740 1015666224406 2031332448812 2539165561015 5078331122030 10156662244060