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84008052924040 = 23572287400132789
BaseRepresentation
bin10011000110011110100110…
…001001110001111010001000
3102000110002110122112122121001
4103012132212021301322020
542002341443022032130
6454400433340424344
723460244602630220
oct2306364611617210
9360402418478531
1084008052924040
1124849684876833
1295093a6b480b4
1337b4c0514105b
1416a6023617080
159aa3978956ca
hex4c67a6271e88

84008052924040 has 128 divisors (see below), whose sum is σ = 216175771468800. Its totient is φ = 28782093312000.

The previous prime is 84008052923999. The next prime is 84008052924083. The reversal of 84008052924040 is 4042925080048.

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, 2562063966 + ... + 2562096754.

It is an arithmetic number, because the mean of its divisors is an integer number (1688873214600).

Almost surely, 284008052924040 is an apocalyptic number.

It is an amenable number.

84008052924040 is an abundant number, since it is smaller than the sum of its proper divisors (132167718544760).

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

84008052924040 is a wasteful number, since it uses less digits than its factorization.

84008052924040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39095 (or 39091 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 84008052924040 in words is "eighty-four trillion, eight billion, fifty-two million, nine hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2287 4001 4574 8002 9148 11435 16004 16009 18296 20005 22870 28007 32008 32018 32789 40010 45740 56014 64036 65578 80020 80045 91480 112028 128072 131156 140035 160040 160090 163945 224056 229523 262312 280070 320180 327890 459046 560140 640360 655780 918092 1120280 1147615 1311560 1836184 2295230 4590460 9150287 9180920 18300574 36601148 45751435 64052009 73202296 74988443 91502870 128104018 131188789 149976886 183005740 256208036 262377578 299953772 320260045 366011480 374942215 512416072 524755156 524919101 599907544 640520090 655943945 749884430 918321523 1049510312 1049838202 1281040180 1311887890 1499768860 1836643046 2099676404 2562080360 2623775780 2624595505 2999537720 3673286092 4199352808 4591607615 5247551560 5249191010 7346572184 9183215230 10498382020 18366430460 20996764040 36732860920 300028760443 600057520886 1200115041772 1500143802215 2100201323101 2400230083544 3000287604430 4200402646202 6000575208860 8400805292404 10501006615505 12001150417720 16801610584808 21002013231010 42004026462020 84008052924040