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189336376384 = 2610924992
BaseRepresentation
bin1011000001010101010…
…0111101010001000000
3200002201011210110220121
42300111110331101000
511100230103021014
6222551355350024
716451634434221
oct2602524752100
9602634713817
10189336376384
117332a4a2a21
1230840452314
1314b14cbaa0c
149241b73248
154dd21cc124
hex2c1553d440

189336376384 has 63 divisors (see below), whose sum is σ = 379954344357. Its totient is φ = 93611697408.

The previous prime is 189336376261. The next prime is 189336376391. The reversal of 189336376384 is 483673633981.

It is a happy number.

The square root of 189336376384 is 435128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 131966545984 + 57369830400 = 363272^2 + 239520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 379431367 + ... + 379431865.

It is an arithmetic number, because the mean of its divisors is an integer number (6031021339).

Almost surely, 2189336376384 is an apocalyptic number.

189336376384 is the 435128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189336376384

189336376384 is an abundant number, since it is smaller than the sum of its proper divisors (190617967973).

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

189336376384 is an frugal number, since it uses more digits than its factorization.

189336376384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 610 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 61.

The spelling of 189336376384 in words is "one hundred eighty-nine billion, three hundred thirty-six million, three hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 109 218 436 499 872 998 1744 1996 3488 3992 6976 7984 11881 15968 23762 31936 47524 54391 95048 108782 190096 217564 249001 380192 435128 498002 760384 870256 996004 1740512 1992008 3481024 3984016 5928619 7968032 11857238 15936064 23714476 27141109 47428952 54282218 94857904 108564436 189715808 217128872 379431616 434257744 868515488 1737030976 2958380881 5916761762 11833523524 23667047048 47334094096 94668188192 189336376384