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245332674240 = 26351546116529
BaseRepresentation
bin1110010001111011110…
…1111000011011000000
3212110020122201010211020
43210132331320123000
513004420131033430
6304412042345440
723503400216013
oct3443675703300
9773218633736
10245332674240
1195054998335
123b6694bb280
131a19a12b384
14bc349cb37a
1565ad1c7b10
hex391ef786c0

245332674240 has 112 divisors (see below), whose sum is σ = 779028749280. Its totient is φ = 65413857280.

The previous prime is 245332674203. The next prime is 245332674289. The reversal of 245332674240 is 42476233542.

It is a happy number.

245332674240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245332674192 and 245332674201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14834296 + ... + 14850824.

Almost surely, 2245332674240 is an apocalyptic number.

245332674240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245332674240 is an abundant number, since it is smaller than the sum of its proper divisors (533696075040).

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

245332674240 is a wasteful number, since it uses less digits than its factorization.

245332674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32010 (or 32000 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 245332674240 in words is "two hundred forty-five billion, three hundred thirty-two million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 15461 16529 30922 33058 46383 49587 61844 66116 77305 82645 92766 99174 123688 132232 154610 165290 185532 198348 231915 247376 247935 264464 309220 330580 371064 396696 463830 494752 495870 528928 618440 661160 742128 793392 927660 989504 991740 1057856 1236880 1322320 1484256 1586784 1855320 1983480 2473760 2644640 2968512 3173568 3710640 3966960 4947520 5289280 7421280 7933920 14842560 15867840 255554869 511109738 766664607 1022219476 1277774345 1533329214 2044438952 2555548690 3066658428 3833323035 4088877904 5111097380 6133316856 7666646070 8177755808 10222194760 12266633712 15333292140 16355511616 20444389520 24533267424 30666584280 40888779040 49066534848 61333168560 81777558080 122666337120 245332674240