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1683778406640 = 2435111420744893
BaseRepresentation
bin11000100000001001000…
…000111000100011110000
312221222010102010111110220
4120200021000320203300
5210041334233003030
63325303410453040
7232435412211321
oct30401100704360
95858112114426
101683778406640
1159a0a5018390
122323b1b94180
13c2a19aa4815
145b6d11b6448
152dbeb655a10
hex188090388f0

1683778406640 has 160 divisors (see below), whose sum is σ = 5694760083456. Its totient is φ = 408150881280.

The previous prime is 1683778406627. The next prime is 1683778406671. The reversal of 1683778406640 is 466048773861.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 37484034 + ... + 37528926.

Almost surely, 21683778406640 is an apocalyptic number.

1683778406640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683778406640 is an abundant number, since it is smaller than the sum of its proper divisors (4010981676816).

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

1683778406640 is a wasteful number, since it uses less digits than its factorization.

1683778406640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59127 (or 59121 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 1683778406640 in words is "one trillion, six hundred eighty-three billion, seven hundred seventy-eight million, four hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 14207 28414 42621 44893 56828 71035 85242 89786 113656 134679 142070 156277 170484 179572 213105 224465 227312 269358 284140 312554 340968 359144 426210 448930 468831 493823 538716 568280 625108 673395 681936 718288 781385 852420 897860 937662 987646 1077432 1136560 1250216 1346790 1481469 1562770 1704840 1795720 1875324 1975292 2154864 2344155 2469115 2500432 2693580 2962938 3125540 3409680 3591440 3750648 3950584 4688310 4938230 5387160 5925876 6251080 7407345 7501296 7901168 9376620 9876460 10774320 11851752 12502160 14814690 18753240 19752920 23703504 29629380 37506480 39505840 59258760 118517520 637794851 1275589702 1913384553 2551179404 3188974255 3826769106 5102358808 6377948510 7015743361 7653538212 9566922765 10204717616 12755897020 14031486722 15307076424 19133845530 21047230083 25511794040 28062973444 30614152848 35078716805 38267691060 42094460166 51023588080 56125946888 70157433610 76535382120 84188920332 105236150415 112251893776 140314867220 153070764240 168377840664 210472300830 280629734440 336755681328 420944601660 561259468880 841889203320 1683778406640