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670017080080 = 2454312711171373
BaseRepresentation
bin10011100000000000010…
…00010100101100010000
32101001102122100020211101
421300000020110230100
541434143333030310
61231445051154144
766256435132555
oct11600010245420
92331378306741
10670017080080
112391751a1137
12a9a2b445954
134b24a7a51ca
1424601264a2c
1512666c0443a
hex9c00214b10

670017080080 has 160 divisors (see below), whose sum is σ = 1609178148864. Its totient is φ = 259291404288.

The previous prime is 670017080063. The next prime is 670017080087. The reversal of 670017080080 is 80080710076.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (670017080087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 487994274 + ... + 487995646.

Almost surely, 2670017080080 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 670017080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804589074432).

670017080080 is an abundant number, since it is smaller than the sum of its proper divisors (939161068784).

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

670017080080 is a wasteful number, since it uses less digits than its factorization.

670017080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 670017080080 in words is "six hundred seventy billion, seventeen million, eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 127 172 215 254 344 430 508 635 688 860 1016 1117 1270 1373 1720 2032 2234 2540 2746 3440 4468 5080 5461 5492 5585 6865 8936 10160 10922 10984 11170 13730 17872 21844 21968 22340 27305 27460 43688 44680 48031 54610 54920 59039 87376 89360 96062 109220 109840 118078 141859 174371 192124 218440 236156 240155 283718 295195 348742 384248 436880 472312 480310 567436 590390 697484 709295 768496 871855 944624 960620 1134872 1180780 1394968 1418590 1533641 1743710 1921240 2269744 2361560 2789936 2837180 3067282 3487420 3842480 4723120 5674360 6099937 6134564 6974840 7497953 7668205 11348720 12199874 12269128 13949680 14995906 15336410 24399748 24538256 29991812 30499685 30672820 37489765 48799496 59983624 60999370 61345640 65946563 74979530 97598992 119967248 121998740 122691280 131893126 149959060 194772407 243997480 263786252 299918120 329732815 389544814 487994960 527572504 599836240 659465630 779089628 973862035 1055145008 1318931260 1558179256 1947724070 2637862520 3116358512 3895448140 5275725040 7790896280 8375213501 15581792560 16750427002 33500854004 41876067505 67001708008 83752135010 134003416016 167504270020 335008540040 670017080080