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4149930960 = 243257823399
BaseRepresentation
bin1111011101011010…
…1110101111010000
3101201012211100001200
43313112232233100
531444340242320
61523443231200
7204560555040
oct36726565720
911635740050
104149930960
11183a58960a
12979978500
135119c8066
142b5221720
151944de290
hexf75aebd0

4149930960 has 120 divisors (see below), whose sum is σ = 15927849600. Its totient is φ = 948554496.

The previous prime is 4149930947. The next prime is 4149930973. The reversal of 4149930960 is 690399414.

4149930960 is a `hidden beast` number, since 41 + 499 + 30 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4149930947) and next prime (4149930973).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406660 + ... + 416739.

It is an arithmetic number, because the mean of its divisors is an integer number (132732080).

Almost surely, 24149930960 is an apocalyptic number.

4149930960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149930960 is an abundant number, since it is smaller than the sum of its proper divisors (11777918640).

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

4149930960 is a wasteful number, since it uses less digits than its factorization.

4149930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823425 (or 823416 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4149930960 is about 64419.9577770740. The cubic root of 4149930960 is about 1606.9916638128.

The spelling of 4149930960 in words is "four billion, one hundred forty-nine million, nine hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 823399 1646798 2470197 3293596 4116995 4940394 5763793 6587192 7410591 8233990 9880788 11527586 12350985 13174384 14821182 16467980 17291379 19761576 23055172 24701970 28818965 29642364 32935960 34582758 37052955 39523152 46110344 49403940 51874137 57637930 59284728 65871920 69165516 74105910 86456895 92220688 98807880 103748274 115275860 118569456 138331032 148211820 172913790 197615760 207496548 230551720 259370685 276662064 296423640 345827580 414993096 461103440 518741370 592847280 691655160 829986192 1037482740 1383310320 2074965480 4149930960