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368263985940 = 223252045911033
BaseRepresentation
bin1010101101111100011…
…11100111101100010100
31022012112221122211000200
411112332033213230110
522013201040022230
6441102251140500
735414632142454
oct5267617475424
91265487584020
10368263985940
111321a8468304
125b456a44730
132895b6ca4b6
1413b77379d64
1598a56a5160
hex55be3e7b14

368263985940 has 36 divisors (see below), whose sum is σ = 1117067424564. Its totient is φ = 98203729536.

The previous prime is 368263985939. The next prime is 368263985941. The reversal of 368263985940 is 49589362863.

368263985940 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 6 + 39 + 8 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368263985939) and next prime (368263985941).

It can be written as a sum of positive squares in 2 ways, for example, as 86767950096 + 281496035844 = 294564^2 + 530562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368263985941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1022955337 + ... + 1022955696.

Almost surely, 2368263985940 is an apocalyptic number.

368263985940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368263985940 is an abundant number, since it is smaller than the sum of its proper divisors (748803438624).

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

368263985940 is a wasteful number, since it uses less digits than its factorization.

368263985940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045911048 (or 2045911043 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 368263985940 in words is "three hundred sixty-eight billion, two hundred sixty-three million, nine hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2045911033 4091822066 6137733099 8183644132 10229555165 12275466198 18413199297 20459110330 24550932396 30688665495 36826398594 40918220660 61377330990 73652797188 92065996485 122754661980 184131992970 368263985940