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368145321216 = 2834173160159
BaseRepresentation
bin1010101101101110010…
…10111100110100000000
31022012020200101000121220
411112313022330310000
522012430200234331
6441042411515040
735411661412251
oct5266712746400
91265220330556
10368145321216
11132147488792
125b423158a80
132893cc5029a
1413b656cab28
15989a065296
hex55b72bcd00

368145321216 has 144 divisors (see below), whose sum is σ = 1017456760320. Its totient is φ = 118081290240.

The previous prime is 368145321209. The next prime is 368145321233. The reversal of 368145321216 is 612123541863.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 2218545 + ... + 2378703.

Almost surely, 2368145321216 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 368145321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508728380160).

368145321216 is an abundant number, since it is smaller than the sum of its proper divisors (649311439104).

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

368145321216 is a wasteful number, since it uses less digits than its factorization.

368145321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160292 (or 160278 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 368145321216 in words is "three hundred sixty-eight billion, one hundred forty-five million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 73 82 96 123 128 146 164 192 219 246 256 292 328 384 438 492 584 656 768 876 984 1168 1312 1752 1968 2336 2624 2993 3504 3936 4672 5248 5986 7008 7872 8979 9344 10496 11972 14016 15744 17958 18688 23944 28032 31488 35916 47888 56064 71832 95776 143664 160159 191552 287328 320318 383104 480477 574656 640636 766208 960954 1149312 1281272 1921908 2298624 2562544 3843816 5125088 6566519 7687632 10250176 11691607 13133038 15375264 19699557 20500352 23383214 26266076 30750528 35074821 39399114 41000704 46766428 52532152 61501056 70149642 78798228 93532856 105064304 123002112 140299284 157596456 187065712 210128608 280598568 315192912 374131424 420257216 479355887 561197136 630385824 748262848 840514432 958711774 1122394272 1260771648 1438067661 1496525696 1681028864 1917423548 2244788544 2521543296 2876135322 2993051392 3834847096 4489577088 5043086592 5752270644 7669694192 8979154176 11504541288 15339388384 23009082576 30678776768 46018165152 61357553536 92036330304 122715107072 184072660608 368145321216