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11071404216 = 2333131521751
BaseRepresentation
bin10100100111110100…
…00011100010111000
31001120120210121102000
422103322003202320
5140133234413331
65030334341000
7541234245255
oct122372034270
931516717360
1011071404216
114771578944
12218b95a760
131075968372
1477057a42c
1544be960e6
hex293e838b8

11071404216 has 128 divisors (see below), whose sum is σ = 31089484800. Its totient is φ = 3650400000.

The previous prime is 11071404187. The next prime is 11071404229. The reversal of 11071404216 is 61240417011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11071404216.

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, 14741841 + ... + 14742591.

It is an arithmetic number, because the mean of its divisors is an integer number (242886600).

Almost surely, 211071404216 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 11071404216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544742400).

11071404216 is an abundant number, since it is smaller than the sum of its proper divisors (20018080584).

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

11071404216 is a wasteful number, since it uses less digits than its factorization.

11071404216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11071404216 in words is "eleven billion, seventy-one million, four hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 521 524 751 786 1042 1048 1179 1502 1563 1572 2084 2253 2358 3004 3126 3144 3537 4168 4506 4689 4716 6008 6252 6759 7074 9012 9378 9432 12504 13518 14067 14148 18024 18756 20277 27036 28134 28296 37512 40554 54072 56268 68251 81108 98381 112536 136502 162216 196762 204753 273004 295143 391271 393524 409506 546008 590286 614259 782542 787048 819012 885429 1173813 1180572 1228518 1565084 1638024 1770858 1842777 2347626 2361144 2457036 2656287 3130168 3521439 3541716 3685554 4695252 4914072 5312574 7042878 7083432 7371108 9390504 10564317 10625148 14085756 14742216 21128634 21250296 28171512 42257268 51256501 84514536 102513002 153769503 205026004 307539006 410052008 461308509 615078012 922617018 1230156024 1383925527 1845234036 2767851054 3690468072 5535702108 11071404216