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42472900368 = 24331710356149
BaseRepresentation
bin100111100011100101…
…010000011100010000
311001122000020220002000
4213203211100130100
51143441030302433
631302313354000
73032342460603
oct474345203420
9131560226060
1042472900368
1117015932758
128294108900
13400b4b3c12
1420acba633a
151188b5d113
hex9e3950710

42472900368 has 160 divisors (see below), whose sum is σ = 130339872000. Its totient is φ = 13195229184.

The previous prime is 42472900361. The next prime is 42472900403. The reversal of 42472900368 is 86300927424.

It is not an unprimeable number, because it can be changed into a prime (42472900361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728358 + ... + 784506.

It is an arithmetic number, because the mean of its divisors is an integer number (814624200).

Almost surely, 242472900368 is an apocalyptic number.

42472900368 is a gapful number since it is divisible by the number (48) 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 42472900368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169936000).

42472900368 is an abundant number, since it is smaller than the sum of its proper divisors (87866971632).

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

42472900368 is a wasteful number, since it uses less digits than its factorization.

42472900368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56286 (or 56274 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42472900368 in words is "forty-two billion, four hundred seventy-two million, nine hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 103 108 136 144 153 204 206 216 272 306 309 408 412 432 459 612 618 816 824 918 927 1224 1236 1648 1751 1836 1854 2448 2472 2781 3502 3672 3708 4944 5253 5562 7004 7344 7416 10506 11124 14008 14832 15759 21012 22248 28016 31518 42024 44496 47277 56149 63036 84048 94554 112298 126072 168447 189108 224596 252144 336894 378216 449192 505341 673788 756432 898384 954533 1010682 1347576 1516023 1909066 2021364 2695152 2863599 3032046 3818132 4042728 5727198 5783347 6064092 7636264 8085456 8590797 11454396 11566694 12128184 15272528 17181594 17350041 22908792 23133388 24256368 25772391 34363188 34700082 45817584 46266776 51544782 52050123 68726376 69400164 92533552 98316899 103089564 104100246 137452752 138800328 156150369 196633798 206179128 208200492 277600656 294950697 312300738 393267596 412358256 416400984 589901394 624601476 786535192 832801968 884852091 1179802788 1249202952 1573070384 1769704182 2359605576 2498405904 2654556273 3539408364 4719211152 5309112546 7078816728 10618225092 14157633456 21236450184 42472900368