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10541978916 = 2237311272251
BaseRepresentation
bin10011101000101100…
…11101010100100100
31000012200121000102120
421310112131110210
5133042221311131
64502023105540
7522145225260
oct116426352444
930180530376
1010541978916
11451a743877
1220625a22b0
13cc007ca61
147201250a0
1541a769496
hex27459d524

10541978916 has 144 divisors (see below), whose sum is σ = 29365604352. Its totient is φ = 2880360000.

The previous prime is 10541978899. The next prime is 10541978921. The reversal of 10541978916 is 61987914501.

It is a super-2 number, since 2×105419789162 (a number of 21 digits) contains 22 as substring.

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, 41999791 + ... + 42000041.

It is an arithmetic number, because the mean of its divisors is an integer number (203927808).

Almost surely, 210541978916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541978916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682802176).

10541978916 is an abundant number, since it is smaller than the sum of its proper divisors (18823625436).

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

10541978916 is a wasteful number, since it uses less digits than its factorization.

10541978916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 10541978916 in words is "ten billion, five hundred forty-one million, nine hundred seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 127 186 217 251 254 372 381 434 502 508 651 753 762 868 889 1004 1302 1506 1524 1757 1778 2604 2667 3012 3514 3556 3937 5271 5334 7028 7781 7874 10542 10668 11811 15562 15748 16129 21084 23343 23622 27559 31124 31877 32258 46686 47244 48387 54467 55118 63754 64516 82677 93372 95631 96774 108934 110236 112903 127508 163401 165354 191262 193548 217868 223139 225806 326802 330708 338709 382524 446278 451612 499999 653604 669417 677418 892556 988187 999998 1338834 1354836 1499997 1976374 1999996 2677668 2964561 2999994 3499993 3952748 4048379 5929122 5999988 6917309 6999986 8096758 10499979 11858244 12145137 13834618 13999972 16193516 20751927 20999958 24290274 27669236 28338653 41503854 41999916 48580548 56677306 83007708 85015959 113354612 125499749 170031918 250999498 340063836 376499247 501998996 752998494 878498243 1505996988 1756996486 2635494729 3513992972 5270989458 10541978916