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245669321040 = 243511137158197
BaseRepresentation
bin1110010011001100001…
…0000101100101010000
3212111010010011120102020
43210303002011211100
513011112321233130
6304505310051440
723514625526403
oct3446302054520
9774103146366
10245669321040
1195207a22030
123b7421a9b80
131a221aba670
14bc675bdd3a
1565cca24e10
hex3933085950

245669321040 has 160 divisors (see below), whose sum is σ = 894717484416. Its totient is φ = 54974945280.

The previous prime is 245669321033. The next prime is 245669321047. The reversal of 245669321040 is 40123966542.

It is an interprime number because it is at equal distance from previous prime (245669321033) and next prime (245669321047).

It is a junction number, because it is equal to n+sod(n) for n = 245669320983 and 245669321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245669321047) 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, 3544779 + ... + 3613418.

Almost surely, 2245669321040 is an apocalyptic number.

245669321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245669321040 is an abundant number, since it is smaller than the sum of its proper divisors (649048163376).

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

245669321040 is a wasteful number, since it uses less digits than its factorization.

245669321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158237 (or 7158231 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 245669321040 in words is "two hundred forty-five billion, six hundred sixty-nine million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 7158197 14316394 21474591 28632788 35790985 42949182 57265576 71581970 78740167 85898364 93056561 107372955 114531152 143163940 157480334 171796728 186113122 214745910 236220501 279169683 286327880 314960668 343593456 372226244 393700835 429491820 465282805 472441002 558339366 572655760 629921336 744452488 787401670 858983640 930565610 944882004 1023622171 1116678732 1181102505 1259842672 1395848415 1488904976 1574803340 1717967280 1861131220 1889764008 2047244342 2233357464 2362205010 2791696830 3070866513 3149606680 3722262440 3779528016 4094488684 4466714928 4724410020 5118110855 5583393660 6141733026 6299213360 7444524880 8188977368 9448820040 10236221710 11166787320 12283466052 15354332565 16377954736 18897640080 20472443420 22333574640 24566932104 30708665130 40944886840 49133864208 61417330260 81889773680 122834660520 245669321040