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3812242444928 = 27172969187427
BaseRepresentation
bin110111011110011011010…
…110110101001010000000
3111111110001201201122200222
4313132123112311022000
5444424433031214203
612035153042002212
7542265631060301
oct67363326651200
914443051648628
103812242444928
11123a843525555
12516a08346368
13218653c39a18
14d272914a7a8
15692726e7038
hex3779b5b5280

3812242444928 has 128 divisors (see below), whose sum is σ = 8330874235200. Its totient is φ = 1729608007680.

The previous prime is 3812242444921. The next prime is 3812242444931. The reversal of 3812242444928 is 8294442422183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×38122424449282 (a number of 26 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 3812242444928.

It is not an unprimeable number, because it can be changed into a prime (3812242444921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43561151 + ... + 43648577.

Almost surely, 23812242444928 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 3812242444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165437117600).

3812242444928 is an abundant number, since it is smaller than the sum of its proper divisors (4518631790272).

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

3812242444928 is a wasteful number, since it uses less digits than its factorization.

3812242444928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88178 (or 88166 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 53.

The spelling of 3812242444928 in words is "three trillion, eight hundred twelve billion, two hundred forty-two million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 691 928 986 1088 1382 1856 1972 2176 2764 3712 3944 5528 7888 11056 11747 15776 20039 22112 23494 31552 40078 44224 46988 63104 80156 87427 88448 93976 160312 174854 187952 320624 340663 349708 375904 641248 681326 699416 751808 1282496 1362652 1398832 1486259 1503616 2535383 2564992 2725304 2797664 2972518 5070766 5450608 5595328 5945036 10141532 10901216 11190656 11890072 20283064 21802432 23780144 40566128 43101511 43604864 47560288 60412057 81132256 86203022 95120576 120824114 162264512 172406044 190241152 241648228 324529024 344812088 483296456 689624176 966592912 1027004969 1379248352 1751949653 1933185824 2054009938 2758496704 3503899306 3866371648 4108019876 5516993408 7007798612 7732743296 8216039752 14015597224 16432079504 28031194448 29783144101 32864159008 56062388896 59566288202 65728318016 112124777792 119132576404 131456636032 224249555584 238265152808 476530305616 953060611232 1906121222464 3812242444928