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19897384752 = 2433721373079
BaseRepresentation
bin10010100001111110…
…011111111100110000
31220100200102212121000
4102201332133330300
5311222212303002
613050222002000
71303034660040
oct224176377460
956320385530
1019897384752
118490611733
123a33716300
131b5135995b
14d6a813720
157b6c4b61c
hex4a1f9ff30

19897384752 has 160 divisors (see below), whose sum is σ = 65323596800. Its totient is φ = 5680461312.

The previous prime is 19897384739. The next prime is 19897384753. The reversal of 19897384752 is 25748379891.

19897384752 is a `hidden beast` number, since 1 + 98 + 9 + 73 + 8 + 475 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19897384752.

It is not an unprimeable number, because it can be changed into a prime (19897384753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6460749 + ... + 6463827.

It is an arithmetic number, because the mean of its divisors is an integer number (408272480).

Almost surely, 219897384752 is an apocalyptic number.

19897384752 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 19897384752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661798400).

19897384752 is an abundant number, since it is smaller than the sum of its proper divisors (45426212048).

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

19897384752 is a wasteful number, since it uses less digits than its factorization.

19897384752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5228 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 19897384752 in words is "nineteen billion, eight hundred ninety-seven million, three hundred eighty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2137 3024 3079 4274 6158 6411 8548 9237 12316 12822 14959 17096 18474 19233 21553 24632 25644 27711 29918 34192 36948 38466 43106 44877 49264 51288 55422 57699 59836 64659 73896 76932 83133 86212 89754 102576 110844 115398 119672 129318 134631 147792 153864 166266 172424 179508 193977 221688 230796 239344 258636 269262 307728 332532 344848 359016 387954 403893 443376 461592 517272 538524 581931 665064 718032 775908 807786 923184 1034544 1077048 1163862 1330128 1551816 1615572 2154096 2327724 3103632 3231144 4655448 6462288 6579823 9310896 13159646 19739469 26319292 39478938 46058761 52638584 59218407 78957876 92117522 105277168 118436814 138176283 157915752 177655221 184235044 236873628 276352566 315831504 355310442 368470088 414528849 473747256 552705132 710620884 736940176 829057698 947494512 1105410264 1243586547 1421241768 1658115396 2210820528 2487173094 2842483536 3316230792 4974346188 6632461584 9948692376 19897384752