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245378087760 = 243513591332997
BaseRepresentation
bin1110010010000110101…
…1000111101101010000
3212110100211011101110110
43210201223013231100
513010013242302020
6304420344001320
723504461221651
oct3444153075520
9773324141413
10245378087760
1195078596173
123b680760240
131a1a666bc90
14bc3aa4d528
1565b21988e0
hex3921ac7b50

245378087760 has 160 divisors (see below), whose sum is σ = 833070430080. Its totient is φ = 59376973824.

The previous prime is 245378087723. The next prime is 245378087767. The reversal of 245378087760 is 67780873542.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 245378087760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245378087767) 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, 482419 + ... + 850578.

It is an arithmetic number, because the mean of its divisors is an integer number (5206690188).

Almost surely, 2245378087760 is an apocalyptic number.

245378087760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245378087760 is an abundant number, since it is smaller than the sum of its proper divisors (587692342320).

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

245378087760 is a wasteful number, since it uses less digits than its factorization.

245378087760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333085 (or 1333079 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 245378087760 in words is "two hundred forty-five billion, three hundred seventy-eight million, eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3835 4602 4720 6136 7080 7670 9204 11505 12272 14160 15340 18408 23010 30680 36816 46020 61360 92040 184080 1332997 2665994 3998991 5331988 6664985 7997982 10663976 13329970 15995964 17328961 19994955 21327952 26659940 31991928 34657922 39989910 51986883 53319880 63983856 69315844 78646823 79979820 86644805 103973766 106639760 138631688 157293646 159959640 173289610 207947532 235940469 259934415 277263376 314587292 319919280 346579220 393234115 415895064 471880938 519868830 629174584 693158440 786468230 831790128 943761876 1022408699 1039737660 1179702345 1258349168 1386316880 1572936460 1887523752 2044817398 2079475320 2359404690 3067226097 3145872920 3775047504 4089634796 4158950640 4718809380 5112043495 6134452194 6291745840 8179269592 9437618760 10224086990 12268904388 15336130485 16358539184 18875237520 20448173980 24537808776 30672260970 40896347960 49075617552 61344521940 81792695920 122689043880 245378087760