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13903844994 = 23313533311129
BaseRepresentation
bin11001111001011101…
…11101011010000010
31022212222112111201000
430330232331122002
5211433341014434
610215355352430
71001356506144
oct147456753202
938788474630
1013903844994
1159953a3596
122840452716
131407713520
1495c806c94
1556598cb99
hex33cbbd682

13903844994 has 128 divisors (see below), whose sum is σ = 34034515200. Its totient is φ = 4180999680.

The previous prime is 13903844993. The next prime is 13903845037. The reversal of 13903844994 is 49944830931.

13903844994 is a `hidden beast` number, since 139 + 0 + 384 + 49 + 94 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13903844994.

It is not an unprimeable number, because it can be changed into a prime (13903844993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12314622 + ... + 12315750.

It is an arithmetic number, because the mean of its divisors is an integer number (265894650).

Almost surely, 213903844994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13903844994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017257600).

13903844994 is an abundant number, since it is smaller than the sum of its proper divisors (20130670206).

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

13903844994 is a wasteful number, since it uses less digits than its factorization.

13903844994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13903844994 in words is "thirteen billion, nine hundred three million, eight hundred forty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 331 351 477 662 689 702 954 993 1129 1378 1431 1986 2067 2258 2862 2979 3387 4134 4303 5958 6201 6774 8606 8937 10161 12402 12909 14677 17543 17874 18603 20322 25818 29354 30483 35086 37206 38727 44031 52629 59837 60966 77454 88062 105258 116181 119674 132093 157887 179511 228059 232362 264186 315774 359022 373699 396279 456118 473661 538533 684177 747398 777881 792558 947322 1077066 1121097 1368354 1555762 1615599 2052531 2242194 2333643 3231198 3363291 4105062 4667286 4858087 6157593 6726582 7000929 9716174 10089873 12315186 14001858 14574261 19806047 20179746 21002787 29148522 39612094 42005574 43722783 59418141 87445566 118836282 131168349 178254423 257478611 262336698 356508846 514957222 534763269 772435833 1069526538 1544871666 2317307499 4634614998 6951922497 13903844994