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245442301504 = 2671795931153
BaseRepresentation
bin1110010010010110000…
…0000100111001000000
3212110112021222210011021
43210211200010321000
513010131212122004
6304431000155224
723506201066021
oct3444540047100
9773467883137
10245442301504
1195100864984
123b69a168b14
131a1b6a62b8a
14bc453a6c48
1565b7b2ed54
hex3925804e40

245442301504 has 112 divisors (see below), whose sum is σ = 501439403520. Its totient is φ = 119156244480.

The previous prime is 245442301493. The next prime is 245442301571. The reversal of 245442301504 is 405103244542.

It is a self number, because there is not a number n which added to its sum of digits gives 245442301504.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212872192 + ... + 212873344.

Almost surely, 2245442301504 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 245442301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250719701760).

245442301504 is an abundant number, since it is smaller than the sum of its proper divisors (255997102016).

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

245442301504 is a wasteful number, since it uses less digits than its factorization.

245442301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 245442301504 in words is "two hundred forty-five billion, four hundred forty-two million, three hundred one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 71 79 142 158 284 316 568 593 632 1136 1153 1186 1264 2272 2306 2372 2528 4544 4612 4744 5056 5609 9224 9488 11218 18448 18976 22436 36896 37952 42103 44872 46847 73792 81863 84206 89744 91087 93694 163726 168412 179488 182174 187388 327452 336824 358976 364348 374776 654904 673648 683729 728696 749552 1309808 1347296 1367458 1457392 1499104 2619616 2694592 2734916 2914784 2998208 3326137 5239232 5469832 5829568 6467177 6652274 10939664 12934354 13304548 21879328 25868708 26609096 43758656 48544759 51737416 53218192 54014591 97089518 103474832 106436384 108029182 194179036 206949664 212872768 216058364 388358072 413899328 432116728 776716144 864233456 1553432288 1728466912 3106864576 3456933824 3835035961 7670071922 15340143844 30680287688 61360575376 122721150752 245442301504