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23958020196 = 223211234164157
BaseRepresentation
bin10110010100000000…
…100110000001100100
32021211200020112020100
4112110000212001210
5343031223121241
615001155304100
71505462545245
oct262400460144
967750215210
1023958020196
11a1847501a0
1247875ab030
13234a6bb616
141233c2cccc
1595349c9b6
hex594026064

23958020196 has 144 divisors (see below), whose sum is σ = 70621020288. Its totient is φ = 6774873600.

The previous prime is 23958020171. The next prime is 23958020209. The reversal of 23958020196 is 69102085932.

23958020196 is a `hidden beast` number, since 2 + 39 + 580 + 20 + 19 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341350 + ... + 405506.

It is an arithmetic number, because the mean of its divisors is an integer number (490423752).

Almost surely, 223958020196 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 23958020196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310510144).

23958020196 is an abundant number, since it is smaller than the sum of its proper divisors (46663000092).

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

23958020196 is a wasteful number, since it uses less digits than its factorization.

23958020196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64242 (or 64237 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 23958020196 in words is "twenty-three billion, nine hundred fifty-eight million, twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 41 44 46 66 69 82 92 99 123 132 138 164 198 207 246 253 276 369 396 414 451 492 506 738 759 828 902 943 1012 1353 1476 1518 1804 1886 2277 2706 2829 3036 3772 4059 4554 5412 5658 8118 8487 9108 10373 11316 16236 16974 20746 31119 33948 41492 62238 64157 93357 124476 128314 186714 192471 256628 373428 384942 577413 705727 769884 1154826 1411454 1475611 2117181 2309652 2630437 2822908 2951222 4234362 4426833 5260874 5902444 6351543 7891311 8468724 8853666 10521748 12703086 13280499 15782622 16231721 17707332 23673933 25406172 26560998 28934807 31565244 32463442 47347866 48695163 53121996 57869614 60500051 64926884 86804421 94695732 97390326 115739228 121000102 146085489 173608842 181500153 194780652 242000204 260413263 292170978 347217684 363000306 520826526 544500459 584341956 665500561 726000612 1041653052 1089000918 1331001122 1996501683 2178001836 2662002244 3993003366 5989505049 7986006732 11979010098 23958020196