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4173319980 = 22325191677307
BaseRepresentation
bin1111100010111111…
…1100111100101100
3101202211211121202200
43320233330330230
532021332214410
61530040421500
7205263430434
oct37057747454
911684747680
104173319980
111851804085
12985777890
135167c6c0b
142b838d2c4
151965ae3c0
hexf8bfcf2c

4173319980 has 144 divisors (see below), whose sum is σ = 13406964480. Its totient is φ = 1047855744.

The previous prime is 4173319973. The next prime is 4173319993. The reversal of 4173319980 is 899133714.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567487 + ... + 574793.

It is an arithmetic number, because the mean of its divisors is an integer number (93103920).

Almost surely, 24173319980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4173319980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703482240).

4173319980 is an abundant number, since it is smaller than the sum of its proper divisors (9233644500).

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

4173319980 is a wasteful number, since it uses less digits than its factorization.

4173319980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 4173319980 is about 64601.2382234273. The cubic root of 4173319980 is about 1610.0050126511.

The spelling of 4173319980 in words is "four billion, one hundred seventy-three million, three hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 167 171 180 190 228 285 334 342 380 501 570 668 684 835 855 1002 1140 1503 1670 1710 2004 2505 3006 3173 3340 3420 5010 6012 6346 7307 7515 9519 10020 12692 14614 15030 15865 19038 21921 28557 29228 30060 31730 36535 38076 43842 47595 57114 63460 65763 73070 87684 95190 109605 114228 131526 138833 142785 146140 190380 219210 263052 277666 285570 328815 416499 438420 555332 571140 657630 694165 832998 1220269 1249497 1315260 1388330 1665996 2082495 2440538 2498994 2776660 3660807 4164990 4881076 4997988 6101345 6247485 7321614 8329980 10982421 12202690 12494970 14643228 18304035 21964842 23185111 24405380 24989940 36608070 43929684 46370222 54912105 69555333 73216140 92740444 109824210 115925555 139110666 208665999 219648420 231851110 278221332 347776665 417331998 463702220 695553330 834663996 1043329995 1391106660 2086659990 4173319980