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10722485140 = 2251779617647
BaseRepresentation
bin10011111110001110…
…00010001110010100
31000200021020200102021
421333013002032110
5133424424011030
64531552022524
7526466422423
oct117707021624
930607220367
1010722485140
114602621874
1220b2b31a44
13101b5a0183
1473a0b12ba
1542b52297a
hex27f1c2394

10722485140 has 96 divisors (see below), whose sum is σ = 24220062720. Its totient is φ = 3972993024.

The previous prime is 10722485131. The next prime is 10722485141. The reversal of 10722485140 is 4158422701.

10722485140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107224851402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10722485096 and 10722485105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722485141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16572297 + ... + 16572943.

It is an arithmetic number, because the mean of its divisors is an integer number (252292320).

Almost surely, 210722485140 is an apocalyptic number.

10722485140 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 10722485140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110031360).

10722485140 is an abundant number, since it is smaller than the sum of its proper divisors (13497577580).

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

10722485140 is a wasteful number, since it uses less digits than its factorization.

10722485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 10722485140 in words is "ten billion, seven hundred twenty-two million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 617 647 790 1234 1294 1343 1580 2468 2588 2686 3085 3235 5372 6170 6470 6715 10489 10999 12340 12940 13430 20978 21998 26860 41956 43996 48743 51113 52445 54995 97486 102226 104890 109990 194972 204452 209780 219980 243715 255565 399199 487430 511130 798398 828631 868921 974860 1022260 1596796 1657262 1737842 1995995 3314524 3475684 3991990 4143155 4344605 6786383 7983980 8286310 8689210 13572766 16572620 17378420 27145532 31536721 33931915 63073442 67863830 126146884 135727660 157683605 315367210 536124257 630734420 1072248514 2144497028 2680621285 5361242570 10722485140