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11634612228 = 2234196130983
BaseRepresentation
bin10101101010111101…
…00001100000000100
31010000211120112120000
422311132201200010
5142311430042403
65202254041300
7561213400161
oct126536414004
933024515500
1011634612228
114a30487408
1223084a9230
131135551645
147c52a7068
154816477a3
hex2b57a1804

11634612228 has 120 divisors (see below), whose sum is σ = 32541875520. Its totient is φ = 3613740480.

The previous prime is 11634612217. The next prime is 11634612251. The reversal of 11634612228 is 82221643611.

It is a happy number.

11634612228 is a `hidden beast` number, since 1 + 1 + 6 + 34 + 612 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11634612192 and 11634612201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360025 + ... + 391007.

It is an arithmetic number, because the mean of its divisors is an integer number (271182296).

Almost surely, 211634612228 is an apocalyptic number.

11634612228 is a gapful number since it is divisible by the number (18) 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 11634612228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270937760).

11634612228 is an abundant number, since it is smaller than the sum of its proper divisors (20907263292).

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

11634612228 is a wasteful number, since it uses less digits than its factorization.

11634612228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31079 (or 31068 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 11634612228 in words is "eleven billion, six hundred thirty-four million, six hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 244 324 342 366 513 549 684 732 1026 1098 1159 1539 1647 2052 2196 2318 3078 3294 3477 4636 4941 6156 6588 6954 9882 10431 13908 19764 20862 30983 31293 41724 61966 62586 92949 93879 123932 125172 185898 187758 278847 371796 375516 557694 588677 836541 1115388 1177354 1673082 1766031 1889963 2354708 2509623 3346164 3532062 3779926 5019246 5298093 5669889 7064124 7559852 10038492 10596186 11339778 15894279 17009667 21192372 22679556 31788558 34019334 35909297 47682837 51029001 63577116 68038668 71818594 95365674 102058002 107727891 143637188 153087003 190731348 204116004 215455782 306174006 323183673 430911564 612348012 646367346 969551019 1292734692 1939102038 2908653057 3878204076 5817306114 11634612228