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1072183317216 = 253111815609531
BaseRepresentation
bin11111001101000110001…
…10110001001011100000
310210111111022001212112020
433212203012301023200
5120031312412122331
62140315413301440
7140314462553004
oct17464306611340
93714438055466
101072183317216
1138378a592560
12153968034880
137a14cb5326b
1439c72dd6704
151cd5389ac96
hexf9a31b12e0

1072183317216 has 96 divisors (see below), whose sum is σ = 3087306907776. Its totient is φ = 323108928000.

The previous prime is 1072183317203. The next prime is 1072183317221. The reversal of 1072183317216 is 6127133812701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10721833172162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2613630 + ... + 2995901.

It is an arithmetic number, because the mean of its divisors is an integer number (32159446956).

Almost surely, 21072183317216 is an apocalyptic number.

1072183317216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1072183317216 is an abundant number, since it is smaller than the sum of its proper divisors (2015123590560).

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

1072183317216 is a wasteful number, since it uses less digits than its factorization.

1072183317216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609736 (or 5609728 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 1072183317216 in words is "one trillion, seventy-two billion, one hundred eighty-three million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 181 264 352 362 528 543 724 1056 1086 1448 1991 2172 2896 3982 4344 5792 5973 7964 8688 11946 15928 17376 23892 31856 47784 63712 95568 191136 5609531 11219062 16828593 22438124 33657186 44876248 61704841 67314372 89752496 123409682 134628744 179504992 185114523 246819364 269257488 370229046 493638728 538514976 740458092 987277456 1015325111 1480916184 1974554912 2030650222 2961832368 3045975333 4061300444 5923664736 6091950666 8122600888 11168576221 12183901332 16245201776 22337152442 24367802664 32490403552 33505728663 44674304884 48735605328 67011457326 89348609768 97471210656 134022914652 178697219536 268045829304 357394439072 536091658608 1072183317216