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11262134364 = 223131741103577
BaseRepresentation
bin10100111110100011…
…01000100001011100
31002001212200200222120
422133101220201130
5141031101244424
65101310342540
7546041363655
oct123721504134
932055620876
1011262134364
11485a1aa268
1222237baa50
1310a6328240
1478ba2852c
1545dabda79
hex29f46885c

11262134364 has 96 divisors (see below), whose sum is σ = 30695547456. Its totient is φ = 3181854720.

The previous prime is 11262134293. The next prime is 11262134371. The reversal of 11262134364 is 46343126211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 56944 + ... + 160520.

It is an arithmetic number, because the mean of its divisors is an integer number (319745286).

Almost surely, 211262134364 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 11262134364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347773728).

11262134364 is an abundant number, since it is smaller than the sum of its proper divisors (19433413092).

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

11262134364 is a wasteful number, since it uses less digits than its factorization.

11262134364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103655 (or 103653 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 11262134364 in words is "eleven billion, two hundred sixty-two million, one hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 204 221 246 442 492 533 663 697 884 1066 1326 1394 1599 2091 2132 2652 2788 3198 4182 6396 8364 9061 18122 27183 36244 54366 103577 108732 207154 310731 414308 621462 1242924 1346501 1760809 2693002 3521618 4039503 4246657 5282427 5386004 7043236 8079006 8493314 10564854 12739971 16158012 16986628 21129708 22890517 25479942 45781034 50959884 55206541 68671551 72193169 91562068 110413082 137343102 144386338 165619623 216579507 220826164 274686204 288772676 331239246 433159014 662478492 866318028 938511197 1877022394 2815533591 3754044788 5631067182 11262134364