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190018920060 = 22335659533971
BaseRepresentation
bin1011000011111000000…
…0101001111001111100
3200011110202010021211000
42300332000221321330
511103124320420220
6223143220530300
716504563112404
oct2607600517174
9604422107730
10190018920060
117364a7aa102
12309b0b50990
1314bc3527708
1492a8685804
154e220a2390
hex2c3e029e7c

190018920060 has 96 divisors (see below), whose sum is σ = 592068153600. Its totient is φ = 50594725440.

The previous prime is 190018920031. The next prime is 190018920089. The reversal of 190018920060 is 60029810091.

190018920060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190018920031) and next prime (190018920089).

It is a super-2 number, since 2×1900189200602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190018919997 and 190018920024.

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, 88875 + ... + 622845.

It is an arithmetic number, because the mean of its divisors is an integer number (6167376600).

Almost surely, 2190018920060 is an apocalyptic number.

190018920060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190018920060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296034076800).

190018920060 is an abundant number, since it is smaller than the sum of its proper divisors (402049233540).

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

190018920060 is a wasteful number, since it uses less digits than its factorization.

190018920060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534648 (or 534640 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 190018920060 in words is "one hundred ninety billion, eighteen million, nine hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 17793 19770 23724 29655 35586 39540 59310 71172 88965 118620 177930 355860 533971 1067942 1601913 2135884 2669855 3203826 4805739 5339710 6407652 8009565 9611478 10679420 14417217 16019130 19222956 24028695 28834434 32038260 48057390 57668868 72086085 96114780 144172170 288344340 351886889 703773778 1055660667 1407547556 1759434445 2111321334 3166982001 3518868890 4222642668 5278303335 6333964002 7037737780 9500946003 10556606670 12667928004 15834910005 19001892006 21113213340 31669820010 38003784012 47504730015 63339640020 95009460030 190018920060