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11454842984 = 2313231337811
BaseRepresentation
bin10101010101100001…
…10000100001101000
31002120022022022111212
422222300300201220
5141424414433414
65132353012252
7553601362454
oct125260604150
932508268455
1011454842984
114948a62092
122278254088
13110722b800
147a946d664
1547098783e
hex2aac30868

11454842984 has 96 divisors (see below), whose sum is σ = 24108215040. Its totient is φ = 5094835200.

The previous prime is 11454842983. The next prime is 11454842999. The reversal of 11454842984 is 48924845411.

It is not an unprimeable number, because it can be changed into a prime (11454842983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14123939 + ... + 14124749.

It is an arithmetic number, because the mean of its divisors is an integer number (251127240).

Almost surely, 211454842984 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 11454842984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054107520).

11454842984 is an abundant number, since it is smaller than the sum of its proper divisors (12653372056).

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

11454842984 is a wasteful number, since it uses less digits than its factorization.

11454842984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1194 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The spelling of 11454842984 in words is "eleven billion, four hundred fifty-four million, eight hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 337 338 403 674 676 806 811 1348 1352 1612 1622 2696 3224 3244 4381 5239 6488 8762 10447 10478 10543 17524 20894 20956 21086 25141 35048 41788 41912 42172 50282 56953 83576 84344 100564 113906 135811 137059 201128 227812 271622 273307 274118 326833 455624 543244 546614 548236 653666 1086488 1093228 1096472 1307332 1765543 2186456 2614664 3531086 3552991 4248829 7062172 7105982 8472517 8497658 14124344 14211964 16945034 16995316 28423928 33890068 33990632 46188883 67780136 92377766 110142721 184755532 220285442 369511064 440570884 881141768 1431855373 2863710746 5727421492 11454842984