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966643146920 = 2351141131409033
BaseRepresentation
bin11100001000100000110…
…10111110000010101000
310102102002000121201101002
432010100122332002220
5111314141121200140
62020023021214132
7126560214115343
oct16042032760250
93372060551332
10966643146920
11342a50946520
12137412a01348
1370200606959
1434b0026345a
151a2280a9415
hexe1106be0a8

966643146920 has 128 divisors (see below), whose sum is σ = 2449099255680. Its totient is φ = 340314624000.

The previous prime is 966643146913. The next prime is 966643146943. The reversal of 966643146920 is 29641346669.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158724 + ... + 2567756.

It is an arithmetic number, because the mean of its divisors is an integer number (19133587935).

Almost surely, 2966643146920 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 966643146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224549627840).

966643146920 is an abundant number, since it is smaller than the sum of its proper divisors (1482456108760).

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

966643146920 is a wasteful number, since it uses less digits than its factorization.

966643146920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409227 (or 409223 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 56.

The spelling of 966643146920 in words is "nine hundred sixty-six billion, six hundred forty-three million, one hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 131 164 205 220 262 328 410 440 451 524 655 820 902 1048 1310 1441 1640 1804 2255 2620 2882 3608 4510 5240 5371 5764 7205 9020 10742 11528 14410 18040 21484 26855 28820 42968 53710 57640 59081 107420 118162 214840 236324 295405 409033 472648 590810 818066 1181620 1636132 2045165 2363240 3272264 4090330 4499363 8180660 8998726 16361320 16770353 17997452 22496815 33540706 35994904 44993630 53583323 67081412 83851765 89987260 107166646 134162824 167703530 179974520 184473883 214333292 267916615 335407060 368947766 428666584 535833230 589416553 670814120 737895532 922369415 1071666460 1178833106 1475791064 1844738830 2143332920 2196916243 2357666212 2947082765 3689477660 4393832486 4715332424 5894165530 7378955320 8787664972 10984581215 11788331060 17575329944 21969162430 23576662120 24166078673 43938324860 48332157346 87876649720 96664314692 120830393365 193328629384 241660786730 483321573460 966643146920