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442426060656 = 243258716093253
BaseRepresentation
bin1100111000000101010…
…01011110111101110000
31120021222102200120001200
412130002221132331300
524222042032420111
6535125301531200
743651505315646
oct6340251367560
91507872616050
10442426060656
111606a4a82748
12718b3713b00
133294a202448
14175b0a55196
15b7963a3256
hex6702a5ef70

442426060656 has 120 divisors (see below), whose sum is σ = 1241440178160. Its totient is φ = 147087387648.

The previous prime is 442426060619. The next prime is 442426060667. The reversal of 442426060656 is 656060624244.

442426060656 is a `hidden beast` number, since 442 + 42 + 60 + 60 + 6 + 56 = 666.

442426060656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136003926 + ... + 136007178.

It is an arithmetic number, because the mean of its divisors is an integer number (10345334818).

Almost surely, 2442426060656 is an apocalyptic number.

It is an amenable number.

442426060656 is an abundant number, since it is smaller than the sum of its proper divisors (799014117504).

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

442426060656 is a wasteful number, since it uses less digits than its factorization.

442426060656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 442426060656 in words is "four hundred forty-two billion, four hundred twenty-six million, sixty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 587 1174 1609 1761 2348 3218 3253 3522 4696 4827 5283 6436 6506 7044 9392 9654 9759 10566 12872 13012 14088 14481 19308 19518 21132 25744 26024 28176 28962 29277 38616 39036 42264 52048 57924 58554 77232 78072 84528 115848 117108 156144 231696 234216 468432 944483 1888966 1909511 2833449 3777932 3819022 5234077 5666898 5728533 7555864 7638044 8500347 10468154 11333796 11457066 15111728 15276088 15702231 17000694 17185599 20936308 22667592 22914132 30552176 31404462 34001388 34371198 41872616 45335184 45828264 47106693 62808924 68002776 68742396 83745232 91656528 94213386 125617848 136005552 137484792 188426772 251235696 274969584 376853544 753707088 3072403199 6144806398 9217209597 12289612796 18434419194 24579225592 27651628791 36868838388 49158451184 55303257582 73737676776 110606515164 147475353552 221213030328 442426060656