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78873120150916 = 227413269712
BaseRepresentation
bin10001111011110000010100…
…010011110001010110000100
3101100021012022100121102221011
4101323300110103301112010
540314224122224312131
6435425451114332004
722420252305340000
oct2173602423612604
9340235270542834
1078873120150916
11231499a211a743
128a1a18042a004
13350191b253c00
14156969d603700
1591ba0e2380b1
hex47bc144f1584

78873120150916 has 135 divisors (see below), whose sum is σ = 174387241790853. Its totient is φ = 31198076975520.

The previous prime is 78873120150899. The next prime is 78873120150943. The reversal of 78873120150916 is 61905102137887.

The square root of 78873120150916 is 8881054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11667621324100 + 67205498826816 = 3415790^2 + 8197896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11314459311 + ... + 11314466281.

Almost surely, 278873120150916 is an apocalyptic number.

78873120150916 is the 8881054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78873120150916

78873120150916 is an abundant number, since it is smaller than the sum of its proper divisors (95514121639937).

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

78873120150916 is an frugal number, since it uses more digits than its factorization.

78873120150916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 58.

The spelling of 78873120150916 in words is "seventy-eight trillion, eight hundred seventy-three billion, one hundred twenty million, one hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1183 1274 1372 2366 2401 2548 4459 4732 4802 6971 8281 8918 9604 13942 16562 17836 27884 31213 33124 48797 57967 62426 90623 97594 115934 124852 181246 195188 231868 341579 362492 405769 634361 683158 811538 1178099 1268722 1366316 1623076 2356198 2391053 2537444 4440527 4712396 4782106 8246693 8881054 9564212 16493386 16737371 17762108 31083689 32986772 33474742 48594841 57726851 62167378 66949484 97189682 115453702 124334756 194379364 217585823 230907404 340163887 404087957 435171646 631732933 680327774 808175914 870343292 1263465866 1360655548 1616351828 2381147209 2526931732 2828615699 4422130531 4762294418 5657231398 8212528129 8844261062 9524588836 11314462796 16425056258 16668030463 17688522124 30954913717 32850112516 33336060926 57487696903 61909827434 66672121852 114975393806 116676213241 123819654868 216684396019 229950787612 233352426482 402413878321 433368792038 466704852964 804827756642 866737584076 1516790772133 1609655513284 2816897148247 3033581544266 5633794296494 6067163088532 11267588592988 19718280037729 39436560075458 78873120150916