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45106486871120 = 2453715238677997
BaseRepresentation
bin10100100000110001011000…
…01000001000010001010000
312220201010201121212200021022
422100120230020020101100
521403011041114333440
6235533344540015012
712333556536216113
oct1220305410102120
9186633647780238
1045106486871120
111341060aa07a44
125085b33231468
131c226a607352c
14b1d24662a57a
155334cadd3cb5
hex29062c208450

45106486871120 has 40 divisors (see below), whose sum is σ = 107706976089864. Its totient is φ = 17554957051392.

The previous prime is 45106486871107. The next prime is 45106486871179. The reversal of 45106486871120 is 2117868460154.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8549565473296 + 36556921397824 = 2923964^2 + 6046232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7619336039 + ... + 7619341958.

Almost surely, 245106486871120 is an apocalyptic number.

45106486871120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45106486871120 is an abundant number, since it is smaller than the sum of its proper divisors (62600489218744).

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

45106486871120 is a wasteful number, since it uses less digits than its factorization.

45106486871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238678047 (or 15238678041 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 45106486871120 in words is "forty-five trillion, one hundred six billion, four hundred eighty-six million, eight hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 15238677997 30477355994 60954711988 76193389985 121909423976 152386779970 243818847952 304773559940 563831085889 609547119880 1127662171778 1219094239760 2255324343556 2819155429445 4510648687112 5638310858890 9021297374224 11276621717780 22553243435560 45106486871120