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381022750626768 = 243215253317347009
BaseRepresentation
bin101011010100010011100010…
…1101100111101001111010000
31211222002102022121112121210100
41112220213011230331033100
5344420134043130024033
63430211234000132400
7143153661646524405
oct12650470554751720
91758072277477710
10381022750626768
11100450928539138
1236898918307100
131347b3a2a3b6a3
146a1385716a2ac
152e0b421eb0513
hex15a89c5b3d3d0

381022750626768 has 60 divisors (see below), whose sum is σ = 1066341555806020. Its totient is φ = 127006743564288.

The previous prime is 381022750626767. The next prime is 381022750626797. The reversal of 381022750626768 is 867626057220183.

381022750626768 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 2 + 2 + 7 + 506 + 2 + 67 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105436588405824 + 275586162220944 = 10268232^2 + 16600788^2 .

It is a super-3 number, since 3×3810227506267683 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381022750626767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13291248 + ... + 30638256.

Almost surely, 2381022750626768 is an apocalyptic number.

It is an amenable number.

381022750626768 is an abundant number, since it is smaller than the sum of its proper divisors (685318805179252).

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

381022750626768 is a wasteful number, since it uses less digits than its factorization.

381022750626768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17499556 (or 17499547 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 381022750626768 in words is "three hundred eighty-one trillion, twenty-two billion, seven hundred fifty million, six hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 152533 305066 457599 610132 915198 1220264 1372797 1830396 2440528 2745594 3660792 5491188 7321584 10982376 17347009 21964752 34694018 52041027 69388036 104082054 138776072 156123081 208164108 277552144 312246162 416328216 624492324 832656432 1248984648 2497969296 2645991323797 5291982647594 7937973971391 10583965295188 15875947942782 21167930590376 23813921914173 31751895885564 42335861180752 47627843828346 63503791771128 95255687656692 127007583542256 190511375313384 381022750626768