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1914243552 = 2532133116493
BaseRepresentation
bin111001000011001…
…0000100111100000
311221101222122111100
41302012100213200
512410021243202
6513540514400
765302541664
oct16206204740
94841878440
101914243552
118a25a4571
124550aba00
1324677cac0
141423348a4
15b30c341c
hex721909e0

1914243552 has 144 divisors (see below), whose sum is σ = 6051846528. Its totient is φ = 569963520.

The previous prime is 1914243509. The next prime is 1914243577. The reversal of 1914243552 is 2553424191.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107818 + ... + 124310.

It is an arithmetic number, because the mean of its divisors is an integer number (42026712).

Almost surely, 21914243552 is an apocalyptic number.

1914243552 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 1914243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025923264).

1914243552 is an abundant number, since it is smaller than the sum of its proper divisors (4137602976).

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

1914243552 is a wasteful number, since it uses less digits than its factorization.

1914243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16542 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1914243552 is about 43752.0691167858. The cubic root of 1914243552 is about 1241.6496323975.

The spelling of 1914243552 in words is "one billion, nine hundred fourteen million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 16493 19344 29016 32986 38688 49479 58032 65972 98958 116064 131944 148437 197916 214409 263888 296874 395832 428818 511283 527776 593748 643227 791664 857636 1022566 1187496 1286454 1533849 1583328 1715272 1929681 2045132 2374992 2572908 3067698 3430544 3859362 4090264 4601547 4749984 5145816 6135396 6646679 6861088 7718724 8180528 9203094 10291632 12270792 13293358 15437448 16361056 18406188 19940037 20583264 24541584 26586716 30874896 36812376 39880074 49083168 53173432 59820111 61749792 73624752 79760148 106346864 119640222 147249504 159520296 212693728 239280444 319040592 478560888 638081184 957121776 1914243552