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245376626320 = 245719209910987
BaseRepresentation
bin1110010010000110010…
…1100010111010010000
3212110100201102010202001
43210201211202322100
513010012404020240
6304420252403344
723504442624130
oct3444145427220
9773321363661
10245376626320
1195077788171
123b680176554
131a1a6279a17
14bc3a78cac0
1565b1eaa89a
hex3921962e90

245376626320 has 160 divisors (see below), whose sum is σ = 686706048000. Its totient is φ = 79656058368.

The previous prime is 245376626293. The next prime is 245376626347. The reversal of 245376626320 is 23626673542.

It is an interprime number because it is at equal distance from previous prime (245376626293) and next prime (245376626347).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22327867 + ... + 22338853.

It is an arithmetic number, because the mean of its divisors is an integer number (4291912800).

Almost surely, 2245376626320 is an apocalyptic number.

245376626320 is a gapful number since it is divisible by the number (20) 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 245376626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343353024000).

245376626320 is an abundant number, since it is smaller than the sum of its proper divisors (441329421680).

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

245376626320 is a wasteful number, since it uses less digits than its factorization.

245376626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 245376626320 in words is "two hundred forty-five billion, three hundred seventy-six million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2099 2128 2660 4198 5320 8396 10495 10640 10987 14693 16792 20990 21974 29386 33584 39881 41980 43948 54935 58772 73465 76909 79762 83960 87896 109870 117544 146930 153818 159524 167920 175792 199405 208753 219740 235088 279167 293860 307636 319048 384545 398810 417506 439480 558334 587720 615272 638096 769090 797620 835012 878960 1043765 1116668 1175440 1230544 1395835 1461271 1538180 1595240 1670024 2087530 2233336 2791670 2922542 3076360 3190480 3340048 4175060 4466672 5583340 5845084 6152720 7306355 8350120 11166680 11690168 14612710 16700240 22333360 23061713 23380336 29225420 46123426 58450840 92246852 115308565 116901680 161431991 184493704 230617130 322863982 368987408 438172547 461234260 645727964 807159955 876345094 922468520 1291455928 1614319910 1752690188 1844937040 2190862735 2582911856 3067207829 3228639820 3505380376 4381725470 6134415658 6457279640 7010760752 8763450940 12268831316 12914559280 15336039145 17526901880 24537662632 30672078290 35053803760 49075325264 61344156580 122688313160 245376626320