Search a number
-
+
2255108476896 = 253211992971693
BaseRepresentation
bin100000110100001110111…
…100001000111111100000
321222120211101110012222100
4200310032330020333200
5243421430232230041
64443552121010400
7321632455531332
oct40641674107740
97876741405870
102255108476896
1179a427a43370
1230507b323a00
1313486aaa2b52
147b20d91d452
153d9d95296b6
hex20d0ef08fe0

2255108476896 has 144 divisors (see below), whose sum is σ = 6996763715760. Its totient is φ = 683287848960.

The previous prime is 2255108476837. The next prime is 2255108476931. The reversal of 2255108476896 is 6986748015522.

2255108476896 is a `hidden beast` number, since 2 + 2 + 55 + 108 + 476 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×22551084768963 (a number of 38 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 31419226 + ... + 31490918.

It is an arithmetic number, because the mean of its divisors is an integer number (48588636915).

Almost surely, 22255108476896 is an apocalyptic number.

It is an amenable number.

2255108476896 is an abundant number, since it is smaller than the sum of its proper divisors (4741655238864).

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

2255108476896 is a wasteful number, since it uses less digits than its factorization.

2255108476896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81649 (or 81638 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2255108476896 in words is "two trillion, two hundred fifty-five billion, one hundred eight million, four hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 9929 19858 29787 39716 59574 71693 79432 89361 109219 119148 143386 158864 178722 215079 218438 238296 286772 317728 327657 357444 430158 436876 476592 573544 645237 655314 714888 788623 860316 873752 953184 982971 1147088 1290474 1310628 1429776 1577246 1720632 1747504 1965942 2294176 2365869 2580948 2621256 2859552 3154492 3441264 3495008 3931884 4731738 5161896 5242512 6308984 6882528 7097607 7863768 9463476 10323792 10485024 12617968 14195214 15727536 18926952 20647584 25235936 28390428 31455072 37853904 56780856 75707808 113561712 227123424 711839797 1423679594 2135519391 2847359188 4271038782 5694718376 6406558173 7830237767 8542077564 11389436752 12813116346 15660475534 17084155128 22778873504 23490713301 25626232692 31320951068 34168310256 46981426602 51252465384 62641902136 68336620512 70472139903 93962853204 102504930768 125283804272 140944279806 187925706408 205009861536 250567608544 281888559612 375851412816 563777119224 751702825632 1127554238448 2255108476896