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11547104140 = 225111321718269
BaseRepresentation
bin10101100000100001…
…01101001110001100
31002210201220200000201
422300100231032030
5142122024313030
65145450303244
7556101523435
oct126020551614
932721820021
1011547104140
114996048280
1222a3127b24
131120392a00
147b780848c
15478b0e2ca
hex2b042d38c

11547104140 has 144 divisors (see below), whose sum is σ = 30331415520. Its totient is φ = 3647754240.

The previous prime is 11547104113. The next prime is 11547104197. The reversal of 11547104140 is 4140174511.

It is a super-2 number, since 2×115471041402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11547104099 and 11547104108.

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, 622926 + ... + 641194.

It is an arithmetic number, because the mean of its divisors is an integer number (210634830).

Almost surely, 211547104140 is an apocalyptic number.

11547104140 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 11547104140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165707760).

11547104140 is an abundant number, since it is smaller than the sum of its proper divisors (18784311380).

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

11547104140 is a wasteful number, since it uses less digits than its factorization.

11547104140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18332 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

Adding to 11547104140 its reverse (4140174511), we get a palindrome (15687278651).

The spelling of 11547104140 in words is "eleven billion, five hundred forty-seven million, one hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 169 170 187 220 221 260 286 338 340 374 442 572 676 715 748 845 884 935 1105 1430 1690 1859 1870 2210 2431 2860 2873 3380 3718 3740 4420 4862 5746 7436 9295 9724 11492 12155 14365 18269 18590 24310 28730 31603 36538 37180 48620 57460 63206 73076 91345 126412 158015 182690 200959 237497 310573 316030 365380 401918 474994 621146 632060 803836 949988 1004795 1187485 1242292 1552865 2009590 2374970 2612467 3087461 3105730 3416303 4019180 4037449 4749940 5224934 6174922 6211460 6832606 8074898 10449868 12349844 13062335 13665212 15437305 16149796 17081515 20187245 26124670 30874610 33962071 34163030 40374490 44411939 52249340 52486837 61749220 67924142 68326060 80748980 88823878 104973674 135848284 169810355 177647756 209947348 222059695 262434185 339620710 444119390 524868370 577355207 679241420 888238780 1049736740 1154710414 2309420828 2886776035 5773552070 11547104140