Search a number
-
+
45057335640 = 23353112112187
BaseRepresentation
bin101001111101101000…
…000110000101011000
311022022010022210202220
4221331220012011120
51214234134220030
632410555024040
73153364014402
oct517550060530
9138263283686
1045057335640
1118121767179
12889573b020
134330a67465
142276115b72
15128a9b6a10
hexa7da06158

45057335640 has 64 divisors (see below), whose sum is σ = 139532405760. Its totient is φ = 11627698560.

The previous prime is 45057335629. The next prime is 45057335651. The reversal of 45057335640 is 4653375054.

It is an interprime number because it is at equal distance from previous prime (45057335629) and next prime (45057335651).

It is a super-2 number, since 2×450573356402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45057335592 and 45057335601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6052374 + ... + 6059813.

It is an arithmetic number, because the mean of its divisors is an integer number (2180193840).

Almost surely, 245057335640 is an apocalyptic number.

45057335640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45057335640 is an abundant number, since it is smaller than the sum of its proper divisors (94475070120).

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

45057335640 is a wasteful number, since it uses less digits than its factorization.

45057335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112232 (or 12112228 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

The spelling of 45057335640 in words is "forty-five billion, fifty-seven million, three hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 12112187 24224374 36336561 48448748 60560935 72673122 96897496 121121870 145346244 181682805 242243740 290692488 363365610 375477797 484487480 726731220 750955594 1126433391 1453462440 1501911188 1877388985 2252866782 3003822376 3754777970 4505733564 5632166955 7509555940 9011467128 11264333910 15019111880 22528667820 45057335640