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55661007689040 = 24351343414885269
BaseRepresentation
bin11001010011111100101101…
…00101110101010101010000
321022002010210022212011021210
430221332112211311111100
524243422220432022130
6314214151450420120
714503242442013025
oct1451762645652520
9238063708764253
1055661007689040
111680a778840966
1262ab586a31640
132509a6c8a1810
14da601587754c
15667d0d1515b0
hex329f96975550

55661007689040 has 160 divisors (see below), whose sum is σ = 190143578782080. Its totient is φ = 13382539204608.

The previous prime is 55661007689039. The next prime is 55661007689071. The reversal of 55661007689040 is 4098670016655.

It is a super-2 number, since 2×556610076890402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207308475 + ... + 207576794.

It is an arithmetic number, because the mean of its divisors is an integer number (1188397367388).

Almost surely, 255661007689040 is an apocalyptic number.

It is an amenable number.

55661007689040 is an abundant number, since it is smaller than the sum of its proper divisors (134482571093040).

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

55661007689040 is a wasteful number, since it uses less digits than its factorization.

55661007689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414885341 (or 414885335 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 55661007689040 in words is "fifty-five trillion, six hundred sixty-one billion, seven million, six hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 240 258 260 312 344 390 430 516 520 559 624 645 688 780 860 1032 1040 1118 1290 1560 1677 1720 2064 2236 2580 2795 3120 3354 3440 4472 5160 5590 6708 8385 8944 10320 11180 13416 16770 22360 26832 33540 44720 67080 134160 414885269 829770538 1244655807 1659541076 2074426345 2489311614 3319082152 4148852690 4978623228 5393508497 6223279035 6638164304 8297705380 9957246456 10787016994 12446558070 16180525491 16595410760 17840066567 19914492912 21574033988 24893116140 26967542485 32361050982 33190821520 35680133134 43148067976 49786232280 53520199701 53935084970 64722101964 71360266268 80902627455 86296135952 89200332835 99572464560 107040399402 107870169940 129444203928 142720532536 161805254910 178400665670 214080798804 215740339880 231920865371 258888407856 267600998505 285441065072 323610509820 356801331340 428161597608 431480679760 463841730742 535201997010 647221019640 695762596113 713602662680 856323195216 927683461484 1070403994020 1159604326855 1294442039280 1391525192226 1427205325360 1855366922968 2140807988040 2319208653710 2783050384452 3478812980565 3710733845936 4281615976080 4638417307420 5566100768904 6957625961130 9276834614840 11132201537808 13915251922260 18553669229680 27830503844520 55661007689040