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384020468766 = 232115360160889
BaseRepresentation
bin1011001011010010110…
…01110101010000011110
31100201020001021002001200
411211221121311100132
522242433220000031
6452225551220330
736513246061254
oct5455131652036
91321201232050
10384020468766
111389535a8040
12625138176a6
132a29cba0a0c
141482dc3c5d4
159ec8ae78e6
hex596967541e

384020468766 has 96 divisors (see below), whose sum is σ = 926364872160. Its totient is φ = 113982336000.

The previous prime is 384020468753. The next prime is 384020468801. The reversal of 384020468766 is 667864020483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6276450 + ... + 6337338.

It is an arithmetic number, because the mean of its divisors is an integer number (9649634085).

Almost surely, 2384020468766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384020468766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463182436080).

384020468766 is an abundant number, since it is smaller than the sum of its proper divisors (542344403394).

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

384020468766 is a wasteful number, since it uses less digits than its factorization.

384020468766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61562 (or 61559 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 384020468766 in words is "three hundred eighty-four billion, twenty million, four hundred sixty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 601 954 1166 1202 1749 1803 3498 3606 5247 5409 6611 10494 10818 13222 19833 31853 39666 59499 60889 63706 95559 118998 121778 182667 191118 286677 350383 365334 548001 573354 669779 700766 1051149 1096002 1339558 2009337 2102298 3153447 3227117 4018674 6028011 6306894 6454234 9681351 12056022 19362702 29044053 35498287 36594289 58088106 70996574 73188578 106494861 109782867 212989722 219565734 319484583 329348601 402537179 638969166 658697202 805074358 1207611537 1939497317 2415223074 3622834611 3878994634 5818491951 7245669222 11636983902 17455475853 21334470487 34910951706 42668940974 64003411461 128006822922 192010234383 384020468766