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96127214000 = 2453176434397
BaseRepresentation
bin101100110000110100…
…0001110000110110000
3100012010021022102121012
41121201220032012300
53033332031322000
6112054335450052
76642056560136
oct1314150160660
9305107272535
1096127214000
1137849340714
1216768986928
1390ac36c6ac
14491c983756
152779242735
hex1661a0e1b0

96127214000 has 160 divisors (see below), whose sum is σ = 246547094976. Its totient is φ = 36124569600.

The previous prime is 96127213999. The next prime is 96127214009. The reversal of 96127214000 is 41272169.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96127214009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21859802 + ... + 21864198.

Almost surely, 296127214000 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 96127214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123273547488).

96127214000 is an abundant number, since it is smaller than the sum of its proper divisors (150419880976).

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

96127214000 is a wasteful number, since it uses less digits than its factorization.

96127214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 96127214000 its reverse (41272169), we get a palindrome (96168486169).

The spelling of 96127214000 in words is "ninety-six billion, one hundred twenty-seven million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 643 680 850 1000 1286 1360 1700 2000 2125 2572 3215 3400 4250 4397 5144 6430 6800 8500 8794 10288 10931 12860 16075 17000 17588 21862 21985 25720 32150 34000 35176 43724 43970 51440 54655 64300 70352 74749 80375 87448 87940 109310 109925 128600 149498 160750 174896 175880 218620 219850 257200 273275 298996 321500 351760 373745 437240 439700 546550 549625 597992 643000 747490 874480 879400 1093100 1099250 1195984 1286000 1366375 1494980 1758800 1868725 2186200 2198500 2732750 2827271 2989960 3737450 4372400 4397000 5465500 5654542 5979920 7474900 8794000 9343625 10931000 11309084 14136355 14949800 18687250 21862000 22618168 28272710 29899600 37374500 45236336 48063607 56545420 70681775 74749000 96127214 113090840 141363550 149498000 192254428 226181680 240318035 282727100 353408875 384508856 480636070 565454200 706817750 769017712 961272140 1130908400 1201590175 1413635500 1922544280 2403180350 2827271000 3845088560 4806360700 5654542000 6007950875 9612721400 12015901750 19225442800 24031803500 48063607000 96127214000