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194053968 = 2436127131
BaseRepresentation
bin10111001000100…
…00011101010000
3111112010222000000
423210100131100
5344134211333
631131130000
74544301003
oct1344203520
9445128000
10194053968
119a5a1689
1254ba3900
1331284a44
141bab553a
1512082713
hexb910750

194053968 has 140 divisors (see below), whose sum is σ = 572487168. Its totient is φ = 63685440.

The previous prime is 194053933. The next prime is 194053991. The reversal of 194053968 is 869350491.

It is a happy number.

194053968 is a `hidden beast` number, since 19 + 40 + 539 + 68 = 666.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 1481263 + ... + 1481393.

Almost surely, 2194053968 is an apocalyptic number.

194053968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194053968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286243584).

194053968 is an abundant number, since it is smaller than the sum of its proper divisors (378433200).

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

194053968 is a wasteful number, since it uses less digits than its factorization.

194053968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

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

The square root of 194053968 is about 13930.3254807632. The cubic root of 194053968 is about 578.9497124034.

The spelling of 194053968 in words is "one hundred ninety-four million, fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 131 144 162 216 243 254 262 324 381 393 432 486 508 524 648 729 762 786 972 1016 1048 1143 1179 1296 1458 1524 1572 1944 2032 2096 2286 2358 2916 3048 3144 3429 3537 3888 4572 4716 5832 6096 6288 6858 7074 9144 9432 10287 10611 11664 13716 14148 16637 18288 18864 20574 21222 27432 28296 30861 31833 33274 41148 42444 49911 54864 56592 61722 63666 66548 82296 84888 92583 95499 99822 123444 127332 133096 149733 164592 169776 185166 190998 199644 246888 254664 266192 299466 370332 381996 399288 449199 493776 509328 598932 740664 763992 798576 898398 1197864 1347597 1481328 1527984 1796796 2395728 2695194 3593592 4042791 5390388 7187184 8085582 10780776 12128373 16171164 21561552 24256746 32342328 48513492 64684656 97026984 194053968