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196824276352 = 271131318819
BaseRepresentation
bin1011011101001110100…
…1000001110110000000
3200211001000121012122001
42313103221001312000
511211044003320402
6230230403153344
720135326513324
oct2672351016600
9624030535561
10196824276352
117652219a000
1232190075854
1315739400362
149752415984
1551be76e187
hex2dd3a41d80

196824276352 has 128 divisors (see below), whose sum is σ = 434634076800. Its totient is φ = 88772569600.

The previous prime is 196824276329. The next prime is 196824276361. The reversal of 196824276352 is 253672428691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1968242763522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196824276293 and 196824276302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22313799 + ... + 22322617.

It is an arithmetic number, because the mean of its divisors is an integer number (3395578725).

Almost surely, 2196824276352 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 196824276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217317038400).

196824276352 is an abundant number, since it is smaller than the sum of its proper divisors (237809800448).

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

196824276352 is an equidigital number, since it uses as much as digits as its factorization.

196824276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8963 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 196824276352 in words is "one hundred ninety-six billion, eight hundred twenty-four million, two hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 262 352 484 524 704 968 1048 1331 1408 1441 1936 2096 2662 2882 3872 4192 5324 5764 7744 8384 8819 10648 11528 15488 15851 16768 17638 21296 23056 31702 35276 42592 46112 63404 70552 85184 92224 97009 126808 141104 170368 174361 184448 194018 253616 282208 348722 388036 507232 564416 697444 776072 1014464 1067099 1128832 1155289 1394888 1552144 2028928 2134198 2310578 2789776 3104288 4268396 4621156 5579552 6208576 8536792 9242312 11159104 11738089 12417152 12708179 17073584 18484624 22318208 23476178 25416358 34147168 36969248 46952356 50832716 68294336 73938496 93904712 101665432 136588672 139789969 147876992 187809424 203330864 279579938 375618848 406661728 559159876 751237696 813323456 1118319752 1502475392 1537689659 1626646912 2236639504 3075379318 4473279008 6150758636 8946558016 12301517272 17893116032 24603034544 49206069088 98412138176 196824276352