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194076672 = 213353149
BaseRepresentation
bin10111001000101…
…10000000000000
3111112012010010220
423210112000000
5344140423142
631131423040
74544424126
oct1344260000
9445163126
10194076672
119a607749
1254bb4a80
133129218a
141babd916
15120892ec
hexb916000

194076672 has 112 divisors (see below), whose sum is σ = 530809200. Its totient is φ = 63045632.

The previous prime is 194076661. The next prime is 194076703. The reversal of 194076672 is 276670491.

It is a super-2 number, since 2×1940766722 = 75331509229191168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302454 + ... + 1302602.

Almost surely, 2194076672 is an apocalyptic number.

194076672 is a gapful number since it is divisible by the number (12) 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 194076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265404600).

194076672 is an abundant number, since it is smaller than the sum of its proper divisors (336732528).

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

194076672 is an equidigital number, since it uses as much as digits as its factorization.

194076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 194076672 is about 13931.1403696898. The cubic root of 194076672 is about 578.9722902492.

The spelling of 194076672 in words is "one hundred ninety-four million, seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 149 159 192 212 256 298 318 384 424 447 512 596 636 768 848 894 1024 1192 1272 1536 1696 1788 2048 2384 2544 3072 3392 3576 4096 4768 5088 6144 6784 7152 7897 8192 9536 10176 12288 13568 14304 15794 19072 20352 23691 24576 27136 28608 31588 38144 40704 47382 54272 57216 63176 76288 81408 94764 108544 114432 126352 152576 162816 189528 217088 228864 252704 305152 325632 379056 434176 457728 505408 610304 651264 758112 915456 1010816 1220608 1302528 1516224 1830912 2021632 3032448 3661824 4043264 6064896 8086528 12129792 16173056 24259584 32346112 48519168 64692224 97038336 194076672