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18404941152 = 2531327154419
BaseRepresentation
bin10001001001000001…
…010001110101100000
31202111200010212212010
4101021001101311200
5300143131104102
612242145432520
71221043263363
oct211101216540
952450125763
1018404941152
117895122774
12369793b740
1319740b1c30
14c6851a0da
1572abe5d6c
hex449051d60

18404941152 has 96 divisors (see below), whose sum is σ = 52222302720. Its totient is φ = 5642058240.

The previous prime is 18404941151. The next prime is 18404941153. The reversal of 18404941152 is 25114940481.

It is an interprime number because it is at equal distance from previous prime (18404941151) and next prime (18404941153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 18404941152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18404941151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310999 + ... + 365417.

It is an arithmetic number, because the mean of its divisors is an integer number (543982320).

Almost surely, 218404941152 is an apocalyptic number.

18404941152 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 18404941152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26111151360).

18404941152 is an abundant number, since it is smaller than the sum of its proper divisors (33817361568).

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

18404941152 is a wasteful number, since it uses less digits than its factorization.

18404941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54716 (or 54708 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 18404941152 in words is "eighteen billion, four hundred four million, nine hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 271 312 416 542 624 813 1084 1248 1626 2168 3252 3523 4336 6504 7046 8672 10569 13008 14092 21138 26016 28184 42276 54419 56368 84552 108838 112736 163257 169104 217676 326514 338208 435352 653028 707447 870704 1306056 1414894 1741408 2122341 2612112 2829788 4244682 5224224 5659576 8489364 11319152 14747549 16978728 22638304 29495098 33957456 44242647 58990196 67914912 88485294 117980392 176970588 191718137 235960784 353941176 383436274 471921568 575154411 707882352 766872548 1150308822 1415764704 1533745096 2300617644 3067490192 4601235288 6134980384 9202470576 18404941152