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111671639244 = 2232113768311159
BaseRepresentation
bin110100000000000100…
…1011111110011001100
3101200020120220001022200
41220000021133303030
53312200414423434
6123145022441500
711032220162154
oct1500011376314
9350216801280
10111671639244
11433a5802450
1219786733290
13a6b8926659
145595205764
152d88c48199
hex1a0025fccc

111671639244 has 144 divisors (see below), whose sum is σ = 316757226240. Its totient is φ = 32874145920.

The previous prime is 111671639231. The next prime is 111671639263. The reversal of 111671639244 is 442936176111.

111671639244 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 7 + 1 + 639 + 2 + 4 + 4 = 666.

It is a super-2 number, since 2×1116716392442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111671639244.

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, 10001737 + ... + 10012895.

It is an arithmetic number, because the mean of its divisors is an integer number (2199702960).

Almost surely, 2111671639244 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 111671639244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158378613120).

111671639244 is an abundant number, since it is smaller than the sum of its proper divisors (205085586996).

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

111671639244 is a wasteful number, since it uses less digits than its factorization.

111671639244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900 (or 11895 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

It can be divided in two parts, 1116716 and 39244, that added together give a triangular number (1155960 = T1520).

The spelling of 111671639244 in words is "one hundred eleven billion, six hundred seventy-one million, six hundred thirty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 683 814 1221 1332 1366 1628 2049 2442 2732 3663 4098 4884 6147 7326 7513 8196 11159 12294 14652 15026 22318 22539 24588 25271 30052 33477 44636 45078 50542 66954 67617 75813 90156 100431 101084 122749 133908 135234 151626 200862 227439 245498 270468 277981 303252 368247 401724 412883 454878 490996 555962 736494 825766 833943 909756 1104741 1111924 1238649 1472988 1651532 1667886 2209482 2477298 2501829 3335772 3715947 4418964 4541713 4954596 5003658 7431894 7621597 9083426 10007316 13625139 14863788 15243194 18166852 22864791 27250278 30486388 40875417 45729582 54500556 68594373 81750834 83837567 91459164 137188746 163501668 167675134 251512701 274377492 281999089 335350268 503025402 563998178 754538103 845997267 1006050804 1127996356 1509076206 1691994534 2537991801 3018152412 3101989979 3383989068 5075983602 6203979958 9305969937 10151967204 12407959916 18611939874 27917909811 37223879748 55835819622 111671639244