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3999137454 = 23313311511217
BaseRepresentation
bin1110111001011101…
…1111111010101110
3101022201002020021000
43232113133322232
531142234344304
61500455221130
7201050051604
oct35627377256
911281066230
103999137454
111772455184
129373777a6
134b96abc30
1429d1ab874
15186154939
hexee5dfeae

3999137454 has 128 divisors (see below), whose sum is σ = 9952911360. Its totient is φ = 1181952000.

The previous prime is 3999137453. The next prime is 3999137479. The reversal of 3999137454 is 4547319993.

It is a happy number.

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 3999137454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999137453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3285454 + ... + 3286670.

It is an arithmetic number, because the mean of its divisors is an integer number (77757120).

Almost surely, 23999137454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999137454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976455680).

3999137454 is an abundant number, since it is smaller than the sum of its proper divisors (5953773906).

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

3999137454 is a wasteful number, since it uses less digits than its factorization.

3999137454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 3999137454 is about 63238.7338108536. The cubic root of 3999137454 is about 1587.2869432302.

The spelling of 3999137454 in words is "three billion, nine hundred ninety-nine million, one hundred thirty-seven thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 151 186 234 279 302 351 403 453 558 702 806 837 906 1209 1217 1359 1674 1963 2418 2434 2718 3627 3651 3926 4077 4681 5889 7254 7302 8154 9362 10881 10953 11778 14043 15821 17667 21762 21906 28086 31642 32859 35334 37727 42129 47463 53001 60853 65718 75454 84258 94926 106002 113181 121706 126387 142389 182559 183767 226362 252774 284778 339543 365118 367534 427167 490451 547677 551301 679086 854334 980902 1018629 1095354 1102602 1471353 1643031 1653903 2037258 2388971 2942706 3286062 3307806 4414059 4777942 4961709 5696777 7166913 8828118 9923418 11393554 13242177 14333826 17090331 21500739 26484354 34180662 43001478 51270993 64502217 74058101 102541986 129004434 148116202 153812979 222174303 307625958 444348606 666522909 1333045818 1999568727 3999137454