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107930778480 = 2433577138279
BaseRepresentation
bin110010010000100101…
…1001111101101110000
3101022120212210122002000
41210201023033231300
53232020234402410
6121325511054000
710540424323440
oct1444113175560
9338525718060
10107930778480
1141856124388
1218b01971300
13a2408c7485
14531c46a120
152c1a60edc0
hex19212cfb70

107930778480 has 160 divisors (see below), whose sum is σ = 424870425600. Its totient is φ = 24669888768.

The previous prime is 107930778467. The next prime is 107930778481. The reversal of 107930778480 is 84877039701.

107930778480 is a `hidden beast` number, since 1 + 0 + 7 + 93 + 0 + 7 + 78 + 480 = 666.

It is a super-2 number, since 2×1079307784802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107930778481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3554020 + ... + 3584259.

It is an arithmetic number, because the mean of its divisors is an integer number (2655440160).

Almost surely, 2107930778480 is an apocalyptic number.

107930778480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107930778480 is an abundant number, since it is smaller than the sum of its proper divisors (316939647120).

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

107930778480 is a wasteful number, since it uses less digits than its factorization.

107930778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138308 (or 7138296 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 107930778480 in words is "one hundred seven billion, nine hundred thirty million, seven hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 7138279 14276558 21414837 28553116 35691395 42829674 49967953 57106232 64244511 71382790 85659348 99935906 107074185 114212464 128489022 142765580 149903859 171318696 192733533 199871812 214148370 249839765 256978044 285531160 299807718 321222555 342637392 385467066 399743624 428296740 449711577 499679530 513956088 571062320 599615436 642445110 749519295 770934132 799487248 856593480 899423154 963667665 999359060 1027912176 1199230872 1284890220 1349134731 1499038590 1541868264 1713186960 1798846308 1927335330 1998718120 2248557885 2398461744 2569780440 2698269462 2998077180 3083736528 3597692616 3854670660 3997436240 4497115770 5139560880 5396538924 5996154360 6745673655 7195385232 7709341320 8994231540 10793077848 11992308720 13491347310 15418682640 17988463080 21586155696 26982694620 35976926160 53965389240 107930778480