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381450218754 = 2311179727712653
BaseRepresentation
bin1011000110100000011…
…01000110110100000010
31100110120220212211212210
411203100031012310002
522222202224000004
6451122534002550
736362456235063
oct5432015066402
91313526784783
10381450218754
11137854782180
1261b16aa6456
1329c80546017
141466874256a
159dc8142089
hex58d0346d02

381450218754 has 128 divisors (see below), whose sum is σ = 893580532992. Its totient is φ = 107272765440.

The previous prime is 381450218741. The next prime is 381450218759. The reversal of 381450218754 is 457812054183.

It is not an unprimeable number, because it can be changed into a prime (381450218759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30140692 + ... + 30153344.

It is an arithmetic number, because the mean of its divisors is an integer number (6981097914).

Almost surely, 2381450218754 is an apocalyptic number.

381450218754 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381450218754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446790266496).

381450218754 is an abundant number, since it is smaller than the sum of its proper divisors (512130314238).

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

381450218754 is a wasteful number, since it uses less digits than its factorization.

381450218754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13060.

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 381450218754 in words is "three hundred eighty-one billion, four hundred fifty million, two hundred eighteen thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 97 102 187 194 277 291 374 554 561 582 831 1067 1122 1649 1662 2134 3047 3201 3298 4709 4947 6094 6402 9141 9418 9894 12653 14127 18139 18282 25306 26869 28254 36278 37959 51799 53738 54417 75918 80607 103598 108834 139183 155397 161214 215101 278366 295559 310794 417549 430202 456773 591118 645303 835098 886677 913546 1227341 1290606 1370319 1773354 2366111 2454682 2740638 3504881 3682023 4732222 5024503 7009762 7098333 7364046 10049006 10514643 13500751 14196666 15073509 20864797 21029286 27001502 30147018 38553691 40502253 41729594 59582977 62594391 77107382 81004506 115661073 119165954 125188782 178748931 229512767 231322146 339973457 357497862 459025534 655412747 679946914 688538301 1019920371 1310825494 1377076602 1966238241 2039840742 3739708027 3932476482 5779548769 7479416054 11219124081 11559097538 17338646307 22438248162 34677292614 63575036459 127150072918 190725109377 381450218754