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380371865468 = 2274283349401
BaseRepresentation
bin1011000100011111110…
…11100000111101111100
31100100210202202211021012
411202033323200331330
522213000144143333
6450423533054352
736323653340000
oct5421773407574
91310722684235
10380371865468
11137351002411
12618759273b8
1329b3b00415a
14145a543a700
159d63634e48
hex588fee0f7c

380371865468 has 120 divisors (see below), whose sum is σ = 783472191600. Its totient is φ = 161571110400.

The previous prime is 380371865413. The next prime is 380371865479. The reversal of 380371865468 is 864568173083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 948558068 + ... + 948558468.

It is an arithmetic number, because the mean of its divisors is an integer number (6528934930).

Almost surely, 2380371865468 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 380371865468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391736095800).

380371865468 is an abundant number, since it is smaller than the sum of its proper divisors (403100326132).

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

380371865468 is a wasteful number, since it uses less digits than its factorization.

380371865468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 380371865468 in words is "three hundred eighty billion, three hundred seventy-one million, eight hundred sixty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 283 343 349 401 566 686 698 802 1132 1372 1396 1604 1981 2401 2443 2807 3962 4802 4886 5614 7924 9604 9772 11228 13867 17101 19649 27734 34202 39298 55468 68404 78596 97069 98767 113483 119707 137543 139949 194138 197534 226966 239414 275086 279898 388276 395068 453932 478828 550172 559796 679483 691369 794381 837949 962801 979643 1358966 1382738 1588762 1675898 1925602 1959286 2717932 2765476 3177524 3351796 3851204 3918572 4839583 5560667 6857501 9679166 11121334 13715002 19358332 22242668 27430004 33877081 38924669 39605567 48002507 67754162 77849338 79211134 96005014 135508324 155698676 158422268 192010028 237139567 272472683 277238969 336017549 474279134 544945366 554477938 672035098 948558268 1089890732 1108955876 1344070196 1940672783 3881345566 7762691132 13584709481 27169418962 54338837924 95092966367 190185932734 380371865468