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316734180672 = 26371318128101
BaseRepresentation
bin1001001101111101101…
…01000000110101000000
31010021112202020111002110
410212332311000311000
520142132422240142
6401301120415320
731611653054160
oct4467665006500
91107482214073
10316734180672
11112365207988
1251475777540
1323b38a31070
14114897c85a0
15838b87999c
hex49bed40d40

316734180672 has 112 divisors (see below), whose sum is σ = 1031416491392. Its totient is φ = 83534284800.

The previous prime is 316734180667. The next prime is 316734180683. The reversal of 316734180672 is 276081437613.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9046579 + ... + 9081522.

It is an arithmetic number, because the mean of its divisors is an integer number (9209075816).

Almost surely, 2316734180672 is an apocalyptic number.

316734180672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

316734180672 is an abundant number, since it is smaller than the sum of its proper divisors (714682310720).

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

316734180672 is a wasteful number, since it uses less digits than its factorization.

316734180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18128136 (or 18128126 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 316734180672 in words is "three hundred sixteen billion, seven hundred thirty-four million, one hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 18128101 36256202 54384303 72512404 108768606 126896707 145024808 217537212 235665313 253793414 290049616 380690121 435074424 471330626 507586828 580099232 706995939 761380242 870148848 942661252 1015173656 1160198464 1413991878 1522760484 1649657191 1740297696 1885322504 2030347312 2827983756 3045520968 3299314382 3480595392 3770645008 4060694624 4948971573 5655967512 6091041936 6598628764 7541290016 8121389248 9897943146 11311935024 12182083872 13197257528 15082580032 19795886292 22623870048 24364167744 26394515056 39591772584 45247740096 52789030112 79183545168 105578060224 158367090336 316734180672