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380861990912 = 21113210492
BaseRepresentation
bin1011000101011010010…
…01001100100000000000
31100102001221000202222102
411202231021030200000
522220001132202122
6450544322125532
736342054336104
oct5425511144000
91312057022872
10380861990912
11137582734967
1261991ab08a8
1329bb870c800
1414610581904
159d9169c492
hex58ad24c800

380861990912 has 108 divisors (see below), whose sum is σ = 825410857635. Its totient is φ = 175614885888.

The previous prime is 380861990911. The next prime is 380861990923. The reversal of 380861990912 is 219099168083.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 222572594176 + 158289396736 = 471776^2 + 397856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=436384.

It is a super-2 number, since 2×3808619909122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380861990911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363070964 + ... + 363072012.

Almost surely, 2380861990912 is an apocalyptic number.

380861990912 is a gapful number since it is divisible by the number (32) 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 380861990912

380861990912 is an abundant number, since it is smaller than the sum of its proper divisors (444548866723).

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

380861990912 is an frugal number, since it uses more digits than its factorization.

380861990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 56.

The spelling of 380861990912 in words is "three hundred eighty billion, eight hundred sixty-one million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1049 1352 1664 2048 2098 2704 3328 4196 5408 6656 8392 10816 13312 13637 16784 21632 26624 27274 33568 43264 54548 67136 86528 109096 134272 173056 177281 218192 268544 346112 354562 436384 537088 709124 872768 1074176 1100401 1418248 1745536 2148352 2200802 2836496 3491072 4401604 5672992 6982144 8803208 11345984 13964288 14305213 17606416 22691968 27928576 28610426 35212832 45383936 57220852 70425664 90767872 114441704 140851328 181535744 185967769 228883408 281702656 363071488 371935538 457766816 563405312 743871076 915533632 1126810624 1487742152 1831067264 2253621248 2975484304 3662134528 5950968608 7324269056 11901937216 14648538112 23803874432 29297076224 47607748864 95215497728 190430995456 380861990912