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42976613680 = 24571113536671
BaseRepresentation
bin101000000001100110…
…110001010100110000
311002221010002011211121
4220001212301110300
51201004003114210
631424305552024
73051000121540
oct500146612460
9132833064747
1042976613680
11172541a5a50
1283b4945614
13408b969230
142119a47320
1511b7eab6da
hexa019b1530

42976613680 has 160 divisors (see below), whose sum is σ = 134159413248. Its totient is φ = 12364876800.

The previous prime is 42976613657. The next prime is 42976613699. The reversal of 42976613680 is 8631667924.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188256 + ... + 348415.

Almost surely, 242976613680 is an apocalyptic number.

42976613680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42976613680 is an abundant number, since it is smaller than the sum of its proper divisors (91182799568).

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

42976613680 is a wasteful number, since it uses less digits than its factorization.

42976613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536715 (or 536709 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

It can be divided in two parts, 42976 and 613680, that added together give a palindrome (656656).

The spelling of 42976613680 in words is "forty-two billion, nine hundred seventy-six million, six hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 536671 1073342 2146684 2683355 3756697 4293368 5366710 5903381 6976723 7513394 8586736 10733420 11806762 13953446 15026788 18783485 21466840 23613524 27906892 29516905 30053576 34883615 37566970 41323667 42933680 47227048 48837061 55813784 59033810 60107152 69767230 75133940 76743953 82647334 94454096 97674122 111627568 118067620 139534460 150267880 153487906 165294668 195348244 206618335 236135240 244185305 279068920 300535760 306975812 330589336 383719765 390696488 413236670 472270480 488370610 537207671 558137840 613951624 661178672 767439530 781392976 826473340 976741220 1074415342 1227903248 1534879060 1652946680 1953482440 2148830684 2686038355 3069758120 3305893360 3906964880 4297661368 5372076710 6139516240 8595322736 10744153420 21488306840 42976613680