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671424531440 = 245134797091901
BaseRepresentation
bin10011100010101000000…
…01010100101111110000
32101012001201201012010112
421301110001110233300
542000034140001230
61232240445520452
766336345231365
oct11612401245760
92335051635115
10671424531440
1123982770a183
12aa162873128
134b413262470
14246d615646c
15126ea56bd95
hex9c54054bf0

671424531440 has 160 divisors (see below), whose sum is σ = 1687916966400. Its totient is φ = 246914150400.

The previous prime is 671424531431. The next prime is 671424531461. The reversal of 671424531440 is 44135424176.

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 31 ways as a sum of consecutive naturals, for example, 353194490 + ... + 353196390.

It is an arithmetic number, because the mean of its divisors is an integer number (10549481040).

Almost surely, 2671424531440 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 671424531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843958483200).

671424531440 is an abundant number, since it is smaller than the sum of its proper divisors (1016492434960).

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

671424531440 is a wasteful number, since it uses less digits than its factorization.

671424531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 671424531440 in words is "six hundred seventy-one billion, four hundred twenty-four million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 479 520 709 958 1040 1418 1901 1916 2395 2836 3545 3802 3832 4790 5672 6227 7090 7604 7664 9217 9505 9580 11344 12454 14180 15208 18434 19010 19160 24713 24908 28360 30416 31135 36868 38020 38320 46085 49426 49816 56720 62270 73736 76040 92170 98852 99632 123565 124540 147472 152080 184340 197704 247130 249080 339611 368680 395408 494260 498160 679222 737360 910579 988520 1347809 1358444 1698055 1821158 1977040 2695618 2716888 3396110 3642316 4414943 4552895 5391236 5433776 6739045 6792220 7284632 8829886 9105790 10782472 11837527 13478090 13584440 14569264 17521517 17659772 18211580 21564944 22074715 23675054 26956180 27168880 35043034 35319544 36423160 44149430 47350108 53912360 59187635 70086068 70639088 72846320 87607585 88298860 94700216 107824720 118375270 140172136 175215170 176597720 189400432 236750540 280344272 350430340 353195440 473501080 645600511 700860680 947002160 1291201022 1401721360 2582402044 3228002555 5164804088 6456005110 8392806643 10329608176 12912010220 16785613286 25824020440 33571226572 41964033215 51648040880 67142453144 83928066430 134284906288 167856132860 335712265720 671424531440