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671936472 = 23346189191
BaseRepresentation
bin101000000011001…
…110111111011000
31201211100220120000
4220003032333120
52334003431342
6150401533000
722436236314
oct5003167730
91654326500
10671936472
113153218a9
12169044160
13a929495c
1465350b44
153decc44c
hex280cefd8

671936472 has 160 divisors (see below), whose sum is σ = 1944518400. Its totient is φ = 216691200.

The previous prime is 671936471. The next prime is 671936477. The reversal of 671936472 is 274639176.

671936472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671936471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3517897 + ... + 3518087.

It is an arithmetic number, because the mean of its divisors is an integer number (12153240).

Almost surely, 2671936472 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 671936472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

671936472 is an abundant number, since it is smaller than the sum of its proper divisors (1272581928).

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

671936472 is a wasteful number, since it uses less digits than its factorization.

671936472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 671936472 is about 25921.7374417688. The cubic root of 671936472 is about 875.8762257098.

The spelling of 671936472 in words is "six hundred seventy-one million, nine hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 89 108 122 162 178 183 191 216 244 267 324 356 366 382 488 534 549 573 648 712 732 764 801 1068 1098 1146 1464 1528 1602 1647 1719 2136 2196 2292 2403 3204 3294 3438 4392 4584 4806 4941 5157 5429 6408 6588 6876 7209 9612 9882 10314 10858 11651 13176 13752 14418 15471 16287 16999 19224 19764 20628 21716 23302 28836 30942 32574 33998 34953 39528 41256 43432 46604 48861 50997 57672 61884 65148 67996 69906 93208 97722 101994 104859 123768 130296 135992 139812 146583 152991 195444 203988 209718 279624 293166 305982 314577 390888 407976 419436 439749 458973 586332 611964 629154 838872 879498 917946 943731 1036939 1172664 1223928 1258308 1376919 1758996 1835892 1887462 2073878 2516616 2753838 3110817 3517992 3671784 3774924 4147756 5507676 6221634 7549848 8295512 9332451 11015352 12443268 18664902 24886536 27997353 37329804 55994706 74659608 83992059 111989412 167984118 223978824 335968236 671936472