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193823290044 = 2235977204101
BaseRepresentation
bin1011010010000011000…
…1001011001010111100
3200112021212201022100000
42310200301023022330
511133422230240134
6225012521434300
720001056532156
oct2644061131274
9615255638300
10193823290044
117522221562a
123169303b990
131537b761c07
149549a33ad6
155096082e99
hex2d20c4b2bc

193823290044 has 72 divisors (see below), whose sum is σ = 508610754288. Its totient is φ = 64541318400.

The previous prime is 193823290033. The next prime is 193823290091. The reversal of 193823290044 is 440092328391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847594 + ... + 1051694.

It is an arithmetic number, because the mean of its divisors is an integer number (7064038254).

Almost surely, 2193823290044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193823290044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254305377144).

193823290044 is an abundant number, since it is smaller than the sum of its proper divisors (314787464244).

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

193823290044 is a wasteful number, since it uses less digits than its factorization.

193823290044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205097 (or 205083 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 193823290044 in words is "one hundred ninety-three billion, eight hundred twenty-three million, two hundred ninety thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 977 1954 2931 3908 5862 8793 11724 17586 26379 35172 52758 79137 105516 158274 204101 237411 316548 408202 474822 612303 816404 949644 1224606 1836909 2449212 3673818 5510727 7347636 11021454 16532181 22042908 33064362 49596543 66128724 99193086 198386172 199406677 398813354 598220031 797626708 1196440062 1794660093 2392880124 3589320186 5383980279 7178640372 10767960558 16151940837 21535921116 32303881674 48455822511 64607763348 96911645022 193823290044