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380864812284 = 2232111994753453
BaseRepresentation
bin1011000101011010100…
…11111101010011111100
31100102002010100010011200
411202231103331103330
522220002342443114
6450544502415500
736342120326505
oct5425523752374
91312063303150
10380864812284
11137584291680
1261992a31590
1329bb9189a68
1414610ab7bac
159d91a58409
hex58ad4fd4fc

380864812284 has 144 divisors (see below), whose sum is σ = 1106728721280. Its totient is φ = 109221678720.

The previous prime is 380864812277. The next prime is 380864812291. The reversal of 380864812284 is 482218468083.

380864812284 is a `hidden beast` number, since 3 + 8 + 0 + 86 + 481 + 2 + 2 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (380864812277) and next prime (380864812291).

It is a super-2 number, since 2×3808648122842 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 380864812284.

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 47 ways as a sum of consecutive naturals, for example, 7098502 + ... + 7151954.

It is an arithmetic number, because the mean of its divisors is an integer number (7685616120).

Almost surely, 2380864812284 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 380864812284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553364360640).

380864812284 is an abundant number, since it is smaller than the sum of its proper divisors (725863908996).

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

380864812284 is a wasteful number, since it uses less digits than its factorization.

380864812284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54440 (or 54435 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 380864812284 in words is "three hundred eighty billion, eight hundred sixty-four million, eight hundred twelve thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 947 1254 1881 1894 2508 2841 3762 3788 5682 7524 8523 10417 11364 17046 17993 20834 31251 34092 35986 41668 53453 53979 62502 71972 93753 106906 107958 125004 160359 161937 187506 197923 213812 215916 320718 323874 375012 395846 481077 587983 593769 641436 647748 791692 962154 1015607 1175966 1187538 1763949 1781307 1924308 2031214 2351932 2375076 3046821 3527898 3562614 4062428 5291847 6093642 7055796 7125228 9140463 10583694 11171677 12187284 18280926 21167388 22343354 33515031 36561852 44686708 50619991 67030062 100545093 101239982 134060124 151859973 201090186 202479964 303719946 402180372 455579919 556819901 607439892 911159838 961779829 1113639802 1670459703 1822319676 1923559658 2227279604 2885339487 3340919406 3847119316 5011379109 5770678974 6681838812 8656018461 10022758218 10579578119 11541357948 17312036922 20045516436 21159156238 31738734357 34624073844 42318312476 63477468714 95216203071 126954937428 190432406142 380864812284