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45444012551100 = 223252282891784911
BaseRepresentation
bin10100101010100110000100…
…01110011010101110111100
312221220101221100222202112200
422111103002032122232330
521424023314203113400
6240352405142431500
712400135665160332
oct1225230216325674
9187811840882480
1045444012551100
11135307743a8aa9
12511b42ba32590
131c48476446ab7
14b31705491b52
1553c182c22b00
hex2954c239abbc

45444012551100 has 108 divisors (see below), whose sum is σ = 142446847714080. Its totient is φ = 12117968179200.

The previous prime is 45444012551089. The next prime is 45444012551123. The reversal of 45444012551100 is 115521044454.

45444012551100 is a `hidden beast` number, since 4 + 5 + 44 + 40 + 12 + 551 + 10 + 0 = 666.

45444012551100 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454440125511002 (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24567645 + ... + 26352555.

Almost surely, 245444012551100 is an apocalyptic number.

It is an amenable number.

45444012551100 is an abundant number, since it is smaller than the sum of its proper divisors (97002835162980).

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

45444012551100 is a wasteful number, since it uses less digits than its factorization.

45444012551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813220 (or 1813210 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 45444012551100 its reverse (115521044454), we get a palindrome (45559533595554).

The spelling of 45444012551100 in words is "forty-five trillion, four hundred forty-four billion, twelve million, five hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 28289 56578 84867 113156 141445 169734 254601 282890 339468 424335 509202 565780 707225 848670 1018404 1273005 1414450 1697340 1784911 2121675 2546010 2828900 3569822 4243350 5092020 5354733 6365025 7139644 8486700 8924555 10709466 12730050 16064199 17849110 21418932 25460100 26773665 32128398 35698220 44622775 53547330 64256796 80320995 89245550 107094660 133868325 160641990 178491100 267736650 321283980 401604975 535473300 803209950 1606419900 50493347279 100986694558 151480041837 201973389116 252466736395 302960083674 454440125511 504933472790 605920167348 757400209185 908880251022 1009866945580 1262333681975 1514800418370 1817760502044 2272200627555 2524667363950 3029600836740 3787001045925 4544401255110 5049334727900 7574002091850 9088802510220 11361003137775 15148004183700 22722006275550 45444012551100