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11394167004 = 223211434191597
BaseRepresentation
bin10101001110010010…
…10011000011011100
31002102002010122201100
422213021103003130
5141313401321004
65122344313100
7552233551533
oct124711230334
932362118640
1011394167004
11491778a350
12225ba72790
1310c77a5c6c
147a139731a
1546a49e739
hex2a72530dc

11394167004 has 144 divisors (see below), whose sum is σ = 32247895680. Its totient is φ = 3362325120.

The previous prime is 11394166939. The next prime is 11394167051. The reversal of 11394167004 is 40076149311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11394167004.

It is a congruent number.

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, 7133934 + ... + 7135530.

It is an arithmetic number, because the mean of its divisors is an integer number (223943720).

Almost surely, 211394167004 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 11394167004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123947840).

11394167004 is an abundant number, since it is smaller than the sum of its proper divisors (20853728676).

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

11394167004 is a wasteful number, since it uses less digits than its factorization.

11394167004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11394167004 in words is "eleven billion, three hundred ninety-four million, one hundred sixty-seven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 419 473 516 774 838 946 1257 1419 1548 1597 1676 1892 2514 2838 3194 3771 4257 4609 4791 5028 5676 6388 7542 8514 9218 9582 13827 14373 15084 17028 17567 18017 18436 19164 27654 28746 35134 36034 41481 52701 54051 55308 57492 68671 70268 72068 82962 105402 108102 137342 158103 162153 165924 198187 206013 210804 216204 274684 316206 324306 396374 412026 594561 618039 632412 648612 669143 755381 792748 824052 1189122 1236078 1338286 1510762 1783683 2007429 2266143 2378244 2472156 2676572 3021524 3567366 4014858 4532286 6022287 6798429 7134732 7360573 8029716 9064572 12044574 13596858 14721146 22081719 24089148 27193716 28773149 29442292 44163438 57546298 66245157 86319447 88326876 115092596 132490314 172638894 258958341 264980628 316504639 345277788 517916682 633009278 949513917 1035833364 1266018556 1899027834 2848541751 3798055668 5697083502 11394167004