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18958023972 = 2233283631983
BaseRepresentation
bin10001101001111111…
…000111110100100100
31210221012212101212000
4101221333013310210
5302311223231342
612413104125300
71240540354626
oct215177076444
953835771760
1018958023972
118049346008
123811006830
131a31861684
14cbbb6cc16
1575e54744c
hex469fc7d24

18958023972 has 96 divisors (see below), whose sum is σ = 49452533760. Its totient is φ = 6280636320.

The previous prime is 18958023967. The next prime is 18958023979. The reversal of 18958023972 is 27932085981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18958023979) 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, 19285393 + ... + 19286375.

It is an arithmetic number, because the mean of its divisors is an integer number (515130560).

Almost surely, 218958023972 is an apocalyptic number.

18958023972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18958023972 is an abundant number, since it is smaller than the sum of its proper divisors (30494509788).

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

18958023972 is a wasteful number, since it uses less digits than its factorization.

18958023972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 18958023972 in words is "eighteen billion, nine hundred fifty-eight million, twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 283 566 631 849 983 1132 1262 1698 1893 1966 2524 2547 2949 3396 3786 3932 5094 5679 5898 7572 7641 8847 10188 11358 11796 15282 17037 17694 22716 26541 30564 34074 35388 53082 68148 106164 178573 278189 357146 535719 556378 620273 714292 834567 1071438 1112756 1240546 1607157 1669134 1860819 2142876 2481092 2503701 3214314 3338268 3721638 4821471 5007402 5582457 6428628 7443276 7511103 9642942 10014804 11164914 15022206 16747371 19285884 22329828 30044412 33494742 66989484 175537259 351074518 526611777 702149036 1053223554 1579835331 2106447108 3159670662 4739505993 6319341324 9479011986 18958023972