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61041115465020 = 22335201135620201
BaseRepresentation
bin11011110000100001111100…
…00000010000010100111100
322000010110210021210222022000
431320100332000100110330
531000044201024340040
6333453522404022300
715600034513402035
oct1570207600202474
9260113707728260
1061041115465020
11184a4434383459
126a1a216091990
13280a1ca033452
141110597553a8c
1570cc45bde130
hex37843e01053c

61041115465020 has 96 divisors (see below), whose sum is σ = 189915168287040. Its totient is φ = 16276818585600.

The previous prime is 61041115464929. The next prime is 61041115465049. The reversal of 61041115465020 is 2056451114016.

61041115465020 is a `hidden beast` number, since 6 + 1 + 0 + 41 + 1 + 1 + 546 + 50 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8050920 + ... + 13671120.

It is an arithmetic number, because the mean of its divisors is an integer number (1978283002990).

Almost surely, 261041115465020 is an apocalyptic number.

61041115465020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61041115465020 is an abundant number, since it is smaller than the sum of its proper divisors (128874052822020).

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

61041115465020 is a wasteful number, since it uses less digits than its factorization.

61041115465020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640332 (or 5640324 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 61041115465020 its reverse (2056451114016), we get a palindrome (63097566579036).

The spelling of 61041115465020 in words is "sixty-one trillion, forty-one billion, one hundred fifteen million, four hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 20113 40226 60339 80452 100565 120678 181017 201130 241356 301695 362034 402260 543051 603390 724068 905085 1086102 1206780 1810170 2172204 2715255 3620340 5430510 5620201 10861020 11240402 16860603 22480804 28101005 33721206 50581809 56202010 67442412 84303015 101163618 112404020 151745427 168606030 202327236 252909045 303490854 337212060 505818090 606981708 758727135 1011636180 1517454270 3034908540 113039102713 226078205426 339117308139 452156410852 565195513565 678234616278 1017351924417 1130391027130 1356469232556 1695586540695 2034703848834 2260782054260 3052055773251 3391173081390 4069407697668 5086759622085 6104111546502 6782346162780 10173519244170 12208223093004 15260278866255 20347038488340 30520557732510 61041115465020