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83407873920 = 273576205943
BaseRepresentation
bin100110110101101111…
…1110010011110000000
321222021211122000011120
41031223133302132000
52331304403431140
6102152252112240
76011632142040
oct1155337623600
9258254560146
1083407873920
1132411630208
12141b9165680
137b33186867
1440735d5720
15228277e1d0
hex136b7f2780

83407873920 has 128 divisors (see below), whose sum is σ = 303843018240. Its totient is φ = 19064653824.

The previous prime is 83407873897. The next prime is 83407873973. The reversal of 83407873920 is 2937870438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089532 + ... + 3116411.

It is an arithmetic number, because the mean of its divisors is an integer number (2373773580).

Almost surely, 283407873920 is an apocalyptic number.

83407873920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83407873920 is an abundant number, since it is smaller than the sum of its proper divisors (220435144320).

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

83407873920 is a wasteful number, since it uses less digits than its factorization.

83407873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205972 (or 6205960 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 83407873920 in words is "eighty-three billion, four hundred seven million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 6205943 12411886 18617829 24823772 31029715 37235658 43441601 49647544 62059430 74471316 86883202 93089145 99295088 124118860 130324803 148942632 173766404 186178290 198590176 217208005 248237720 260649606 297885264 347532808 372356580 397180352 434416010 496475440 521299212 595770528 651624015 695065616 744713160 794360704 868832020 992950880 1042598424 1191541056 1303248030 1390131232 1489426320 1737664040 1985901760 2085196848 2383082112 2606496060 2780262464 2978852640 3475328080 3971803520 4170393696 5212992120 5560524928 5957705280 6950656160 8340787392 10425984240 11915410560 13901312320 16681574784 20851968480 27802624640 41703936960 83407873920