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11560745144 = 23132173131607
BaseRepresentation
bin10101100010001001…
…01111100010111000
31002211200120200222002
422301010233202320
5142134022321034
65151054520132
7556325466224
oct126104574270
932750520862
1011560745144
1149a2814a33
1222a7806048
13112315a900
147b9559784
15479e05e7e
hex2b112f8b8

11560745144 has 96 divisors (see below), whose sum is σ = 24947701920. Its totient is φ = 5002702848.

The previous prime is 11560745081. The next prime is 11560745159. The reversal of 11560745144 is 44154706511.

It is a junction number, because it is equal to n+sod(n) for n = 11560745098 and 11560745107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7193189 + ... + 7194795.

It is an arithmetic number, because the mean of its divisors is an integer number (259871895).

Almost surely, 211560745144 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 11560745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473850960).

11560745144 is an abundant number, since it is smaller than the sum of its proper divisors (13386956776).

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

11560745144 is a wasteful number, since it uses less digits than its factorization.

11560745144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 11560745144 in words is "eleven billion, five hundred sixty million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 313 338 442 626 676 884 1252 1352 1607 1768 2504 2873 3214 4069 5321 5746 6428 8138 10642 11492 12856 16276 20891 21284 22984 27319 32552 41782 42568 52897 54638 69173 83564 105794 109276 138346 167128 211588 218552 271583 276692 355147 423176 502991 543166 553384 710294 899249 1005982 1086332 1420588 1798498 2011964 2172664 2841176 3596996 4023928 4616911 6538883 7193992 8550847 9233822 13077766 17101694 18467644 26155532 34203388 36935288 52311064 68406776 85005479 111161011 170010958 222322022 340021916 444644044 680043832 889288088 1445093143 2890186286 5780372572 11560745144