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920018291920 = 245713126376139
BaseRepresentation
bin11010110001101010101…
…11010000110011010000
310020221201122201200021121
431120311113100303100
5110033144140320140
61542352304532024
7123316624310440
oct15306527206320
93227648650247
10920018291920
113251a5382902
1212a380321014
13689acb99860
1432759cb0120
1518de9bac64a
hexd6355d0cd0

920018291920 has 80 divisors (see below), whose sum is σ = 2632667748480. Its totient is φ = 291170621952.

The previous prime is 920018291893. The next prime is 920018291921. The reversal of 920018291920 is 29192810029.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920018291921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63180790 + ... + 63195349.

It is an arithmetic number, because the mean of its divisors is an integer number (32908346856).

Almost surely, 2920018291920 is an apocalyptic number.

It is an amenable number.

920018291920 is an abundant number, since it is smaller than the sum of its proper divisors (1712649456560).

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

920018291920 is a wasteful number, since it uses less digits than its factorization.

920018291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126376172 (or 126376166 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 920018291920 in words is "nine hundred twenty billion, eighteen million, two hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 126376139 252752278 505504556 631880695 884632973 1011009112 1263761390 1642889807 1769265946 2022018224 2527522780 3285779614 3538531892 4423164865 5055045560 6571559228 7077063784 8214449035 8846329730 10110091120 11500228649 13143118456 14154127568 16428898070 17692659460 23000457298 26286236912 32857796140 35385318920 46000914596 57501143245 65715592280 70770637840 92001829192 115002286490 131431184560 184003658384 230004572980 460009145960 920018291920