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15214530304 = 28291072179
BaseRepresentation
bin11100010101101101…
…10100111100000000
31110021022211012221101
432022312310330000
5222124404432204
610553420104144
71046013242131
oct161266647400
943238735841
1015214530304
1164a8229896
122b47395054
13158611cc6c
14a44909c88
155e0a8dea4
hex38adb4f00

15214530304 has 108 divisors (see below), whose sum is σ = 31890385800. Its totient is φ = 7235651584.

The previous prime is 15214530301. The next prime is 15214530311. The reversal of 15214530304 is 40303541251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15214530301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84997287 + ... + 84997465.

It is an arithmetic number, because the mean of its divisors is an integer number (295281350).

Almost surely, 215214530304 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 15214530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945192900).

15214530304 is an abundant number, since it is smaller than the sum of its proper divisors (16675855496).

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

15214530304 is an equidigital number, since it uses as much as digits as its factorization.

15214530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 15214530304 in words is "fifteen billion, two hundred fourteen million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 128 179 214 232 256 358 428 464 716 856 928 1432 1712 1856 2864 3103 3424 3712 5191 5728 6206 6848 7424 10382 11449 11456 12412 13696 19153 20764 22898 22912 24824 27392 38306 41528 45796 45824 49648 76612 83056 91592 99296 153224 166112 183184 198592 306448 332021 332224 366368 397184 555437 612896 664042 664448 732736 794368 1110874 1225792 1328084 1328896 1465472 2049371 2221748 2451584 2656168 2930944 4098742 4443496 4903168 5312336 8197484 8886992 10624672 16394968 17773984 21249344 32789936 35547968 42498688 59431759 65579872 71095936 84997376 118863518 131159744 142191872 237727036 262319488 475454072 524638976 950908144 1901816288 3803632576 7607265152 15214530304