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245107031796 = 2232111736535479
BaseRepresentation
bin1110010001000110000…
…1000111111011110100
3212102122221010022120200
43210101201013323310
513003434400004141
6304333422200500
723464660252224
oct3442141077364
9772587108520
10245107031796
1194a49590880
123b605a23130
131a162466633
14bc12a52084
1565984a5ab6
hex3911847ef4

245107031796 has 144 divisors (see below), whose sum is σ = 680973471360. Its totient is φ = 73718979840.

The previous prime is 245107031791. The next prime is 245107031797. The reversal of 245107031796 is 697130701542.

245107031796 is a `hidden beast` number, since 245 + 1 + 0 + 7 + 0 + 317 + 96 = 666.

245107031796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245107031791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44732985 + ... + 44738463.

It is an arithmetic number, because the mean of its divisors is an integer number (4728982440).

Almost surely, 2245107031796 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 245107031796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340486735680).

245107031796 is an abundant number, since it is smaller than the sum of its proper divisors (435866439564).

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

245107031796 is a wasteful number, since it uses less digits than its factorization.

245107031796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 245107031796 in words is "two hundred forty-five billion, one hundred seven million, thirty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 653 692 1038 1306 1557 1903 1959 2076 2612 3114 3806 3918 5479 5709 5877 6228 7183 7612 7836 10958 11418 11754 14366 16437 17127 21549 21916 22836 23508 28732 32874 34254 43098 49311 60269 64647 65748 68508 86196 98622 112969 120538 129294 180807 197244 225938 241076 258588 338907 361614 451876 542421 677814 723228 947867 1016721 1084842 1242659 1355628 1895734 2033442 2169684 2485318 2843601 3577787 3727977 3791468 4066884 4970636 5687202 7155574 7455954 8530803 10426537 10733361 11183931 11374404 14311148 14911908 17061606 20853074 21466722 22367862 31279611 32200083 34123212 39355657 41706148 42933444 44735724 62559222 64400166 78711314 93838833 118066971 125118444 128800332 157422628 187677666 236133942 354200913 375355332 472267884 618957151 708401826 1237914302 1416803652 1856871453 2475828604 3713742906 5570614359 6808528661 7427485812 11141228718 13617057322 20425585983 22282457436 27234114644 40851171966 61276757949 81702343932 122553515898 245107031796