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11046136226140 = 2254318182985601
BaseRepresentation
bin1010000010111110000100…
…0001101010000101011100
31110010000000020002210121201
42200233201001222011130
52421434441333214030
635254305215005244
72220025360504261
oct240574101520534
943100006083551
1011046136226140
113579704a22524
1212a4994809824
1362185285aa52
142a28c8a93268
15142506c372ca
hexa0be106a15c

11046136226140 has 96 divisors (see below), whose sum is σ = 23896558445760. Its totient is φ = 4286628864000.

The previous prime is 11046136226123. The next prime is 11046136226219. The reversal of 11046136226140 is 4162263164011.

It is a self number, because there is not a number n which added to its sum of digits gives 11046136226140.

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, 128999340 + ... + 129084940.

It is an arithmetic number, because the mean of its divisors is an integer number (248922483810).

Almost surely, 211046136226140 is an apocalyptic number.

11046136226140 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 11046136226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948279222880).

11046136226140 is an abundant number, since it is smaller than the sum of its proper divisors (12850422219620).

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

11046136226140 is a wasteful number, since it uses less digits than its factorization.

11046136226140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86663 (or 86661 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 11046136226140 in words is "eleven trillion, forty-six billion, one hundred thirty-six million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 181 215 362 430 724 829 860 905 1658 1810 3316 3620 4145 7783 8290 15566 16580 31132 35647 38915 71294 77830 85601 142588 150049 155660 171202 178235 300098 342404 356470 428005 600196 712940 750245 856010 1500490 1712020 3000980 3680843 6452107 7361686 12904214 14723372 15493781 18404215 25808428 30987562 32260535 36808430 61975124 64521070 70963229 73616860 77468905 129042140 141926458 154937810 283852916 309875620 354816145 666232583 709632290 1332465166 1419264580 2664930332 3051418847 3331162915 6102837694 6662325830 12205675388 12844344449 13324651660 15257094235 25688688898 30514188470 51377377796 61028376940 64221722245 128443444490 256886888980 552306811307 1104613622614 2209227245228 2761534056535 5523068113070 11046136226140