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49113355680 = 2532534106497
BaseRepresentation
bin101101101111011000…
…100101010110100000
311200202210102222021100
4231233120211112200
51301041004340210
634321245354400
73356034430614
oct555730452640
9150683388240
1049113355680
1119913233054
129627b68a00
13482917140c
14253ca8d344
151426b055c0
hexb6f6255a0

49113355680 has 72 divisors (see below), whose sum is σ = 167599331172. Its totient is φ = 13096894464.

The previous prime is 49113355631. The next prime is 49113355699. The reversal of 49113355680 is 8655331194.

49113355680 is a `hidden beast` number, since 4 + 9 + 1 + 13 + 3 + 556 + 80 = 666.

49113355680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45057703824 + 4055651856 = 212268^2 + 63684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17051809 + ... + 17054688.

Almost surely, 249113355680 is an apocalyptic number.

49113355680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49113355680 is an abundant number, since it is smaller than the sum of its proper divisors (118485975492).

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

49113355680 is a wasteful number, since it uses less digits than its factorization.

49113355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34106518 (or 34106507 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 49113355680 in words is "forty-nine billion, one hundred thirteen million, three hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 34106497 68212994 102319491 136425988 170532485 204638982 272851976 306958473 341064970 409277964 511597455 545703952 613916946 682129940 818555928 1023194910 1091407904 1227833892 1364259880 1534792365 1637111856 2046389820 2455667784 2728519760 3069584730 3274223712 4092779640 4911335568 5457039520 6139169460 8185559280 9822671136 12278338920 16371118560 24556677840 49113355680