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15244040052 = 22332234611373
BaseRepresentation
bin11100011001001110…
…11001011101110100
31110100101100110201000
432030213121131310
5222204433240202
611000352403300
71046522126313
oct161447313564
943311313630
1015244040052
116512954a0a
122b55246530
13158c282a57
14a487cc27a
155e346c91c
hex38c9d9774

15244040052 has 96 divisors (see below), whose sum is σ = 39813903360. Its totient is φ = 5043911040.

The previous prime is 15244040051. The next prime is 15244040083. The reversal of 15244040052 is 25004044251.

15244040052 is a `hidden beast` number, since 15 + 244 + 0 + 400 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15244039998 and 15244040025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15244040051) 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 31 ways as a sum of consecutive naturals, for example, 11102038 + ... + 11103410.

It is an arithmetic number, because the mean of its divisors is an integer number (414728160).

Almost surely, 215244040052 is an apocalyptic number.

15244040052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15244040052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906951680).

15244040052 is an abundant number, since it is smaller than the sum of its proper divisors (24569863308).

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

15244040052 is a wasteful number, since it uses less digits than its factorization.

15244040052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 15244040052 in words is "fifteen billion, two hundred forty-four million, forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 461 669 892 922 1338 1373 1383 1844 2007 2676 2746 2766 4014 4119 4149 5492 5532 6021 8028 8238 8298 12042 12357 12447 16476 16596 24084 24714 24894 37071 49428 49788 74142 102803 148284 205606 306179 308409 411212 612358 616818 632953 918537 925227 1224716 1233636 1265906 1837074 1850454 1898859 2531812 2755611 2775681 3674148 3700908 3797718 5511222 5551362 5696577 7595436 8266833 11022444 11102724 11393154 16533666 17089731 22786308 33067332 34179462 68358924 141148519 282297038 423445557 564594076 846891114 1270336671 1693782228 2540673342 3811010013 5081346684 7622020026 15244040052