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487568028020880 = 243510356335033083
BaseRepresentation
bin110111011011100001100011…
…1000111010011000010010000
32100221100001022012000100110110
41232313003013013103002100
51002401303310133132010
64444545354313001320
7204461425153614132
oct15667030707230220
92327301265010413
10487568028020880
11131399491a44534
1246825b4a0b3240
1317c09610887841
1488585c03cb052
153b57b6b2d0120
hex1bb70c71d3090

487568028020880 has 160 divisors (see below), whose sum is σ = 1528846027877376. Its totient is φ = 128527129124352.

The previous prime is 487568028020849. The next prime is 487568028020903. The reversal of 487568028020880 is 88020820865784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3599182 + ... + 31433901.

Almost surely, 2487568028020880 is an apocalyptic number.

487568028020880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487568028020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764423013938688).

487568028020880 is an abundant number, since it is smaller than the sum of its proper divisors (1041277999856496).

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

487568028020880 is a wasteful number, since it uses less digits than its factorization.

487568028020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35033765 (or 35033759 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 66.

The spelling of 487568028020880 in words is "four hundred eighty-seven trillion, five hundred sixty-eight billion, twenty-eight million, twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 563 618 824 1030 1126 1236 1545 1648 1689 2060 2252 2472 2815 3090 3378 4120 4504 4944 5630 6180 6756 8240 8445 9008 11260 12360 13512 16890 22520 24720 27024 33780 45040 57989 67560 115978 135120 173967 231956 289945 347934 463912 579890 695868 869835 927824 1159780 1391736 1739670 2319560 2783472 3479340 4639120 6958680 13917360 35033083 70066166 105099249 140132332 175165415 210198498 280264664 350330830 420396996 525496245 560529328 700661660 840793992 1050992490 1401323320 1681587984 2101984980 2802646640 3608407549 4203969960 7216815098 8407939920 10825222647 14433630196 18042037745 19723625729 21650445294 28867260392 36084075490 39447251458 43300890588 54126113235 57734520784 59170877187 72168150980 78894502916 86601781176 98618128645 108252226470 118341754374 144336301960 157789005832 173203562352 197236257290 216504452940 236683508748 288672603920 295854385935 315578011664 394472514580 433008905880 473367017496 591708771870 788945029160 866017811760 946734034992 1183417543740 1577890058320 2031533450087 2366835087480 4063066900174 4733670174960 6094600350261 8126133800348 10157667250435 12189200700522 16252267600696 20315334500870 24378401401044 30473001751305 32504535201392 40630669001740 48756802802088 60946003502610 81261338003480 97513605604176 121892007005220 162522676006960 243784014010440 487568028020880