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242963331648 = 2638319179823
BaseRepresentation
bin1110001001000110111…
…1100011101001000000
3212020010112101001210220
43202101233203221000
512440042103103043
6303341003223040
723360600146452
oct3422157435100
9766115331726
10242963331648
1194049515164
123b107b17a80
1319bb02b79cb
14ba8c06c2d2
1564c01aa483
hex3891be3a40

242963331648 has 112 divisors (see below), whose sum is σ = 653999947776. Its totient is φ = 79592112640.

The previous prime is 242963331643. The next prime is 242963331697. The reversal of 242963331648 is 846133369242.

It is a self number, because there is not a number n which added to its sum of digits gives 242963331648.

It is not an unprimeable number, because it can be changed into a prime (242963331643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3003865 + ... + 3083687.

It is an arithmetic number, because the mean of its divisors is an integer number (5839285248).

Almost surely, 2242963331648 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 242963331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326999973888).

242963331648 is an abundant number, since it is smaller than the sum of its proper divisors (411036616128).

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

242963331648 is a wasteful number, since it uses less digits than its factorization.

242963331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80112 (or 80102 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 242963331648 in words is "two hundred forty-two billion, nine hundred sixty-three million, three hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 191 192 249 332 382 498 573 664 764 996 1146 1328 1528 1992 2292 2656 3056 3984 4584 5312 6112 7968 9168 12224 15853 15936 18336 31706 36672 47559 63412 79823 95118 126824 159646 190236 239469 253648 319292 380472 478938 507296 638584 760944 957876 1014592 1277168 1521888 1915752 2554336 3043776 3831504 5108672 6625309 7663008 13250618 15246193 15326016 19875927 26501236 30492386 39751854 45738579 53002472 60984772 79503708 91477158 106004944 121969544 159007416 182954316 212009888 243939088 318014832 365908632 424019776 487878176 636029664 731817264 975756352 1265434019 1272059328 1463634528 2530868038 2927269056 3796302057 5061736076 7592604114 10123472152 15185208228 20246944304 30370416456 40493888608 60740832912 80987777216 121481665824 242963331648