Search a number
-
+
36403613040 = 2435891704289
BaseRepresentation
bin100001111001110100…
…110000110101110000
310110222000211011001110
4201321310300311300
51044023311104130
624420143433320
72426054414424
oct417164606560
9113860734043
1036403613040
1114490988313
12707b5b5840
133581c68b42
141a94abcb84
15e30ddaab0
hex879d30d70

36403613040 has 80 divisors (see below), whose sum is σ = 114119258400. Its totient is φ = 9598550016.

The previous prime is 36403613003. The next prime is 36403613089. The reversal of 36403613040 is 4031630463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36403612989 and 36403613007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830785 + ... + 873504.

It is an arithmetic number, because the mean of its divisors is an integer number (1426490730).

Almost surely, 236403613040 is an apocalyptic number.

36403613040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36403613040 is an abundant number, since it is smaller than the sum of its proper divisors (77715645360).

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

36403613040 is a wasteful number, since it uses less digits than its factorization.

36403613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704394 (or 1704388 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 36403613040 in words is "thirty-six billion, four hundred three million, six hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 1704289 3408578 5112867 6817156 8521445 10225734 13634312 17042890 20451468 25564335 27268624 34085780 40902936 51128670 68171560 81805872 102257340 136343120 151681721 204514680 303363442 409029360 455045163 606726884 758408605 910090326 1213453768 1516817210 1820180652 2275225815 2426907536 3033634420 3640361304 4550451630 6067268840 7280722608 9100903260 12134537680 18201806520 36403613040