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4149658980 = 2232582927809
BaseRepresentation
bin1111011101010110…
…1100010101100100
3101201012022111222100
43313111230111210
531444303041410
61523433332100
7204555343065
oct36725542544
911635274870
104149658980
11183a413235
12979867030
1351193131c
142b519056c
151944888c0
hexf756c564

4149658980 has 72 divisors (see below), whose sum is σ = 12602935800. Its totient is φ = 1105201152.

The previous prime is 4149658969. The next prime is 4149659027. The reversal of 4149658980 is 898569414.

4149658980 is a `hidden beast` number, since 414 + 96 + 58 + 98 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 840188196 + 3309470784 = 28986^2 + 57528^2 .

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, 135316 + ... + 163124.

It is an arithmetic number, because the mean of its divisors is an integer number (175040775).

Almost surely, 24149658980 is an apocalyptic number.

It is an amenable number.

4149658980 is an abundant number, since it is smaller than the sum of its proper divisors (8453276820).

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

4149658980 is a wasteful number, since it uses less digits than its factorization.

4149658980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28653 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4149658980 is about 64417.8467507258. The cubic root of 4149658980 is about 1606.9565564704.

The spelling of 4149658980 in words is "four billion, one hundred forty-nine million, six hundred fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 829 1658 2487 3316 4145 4974 7461 8290 9948 12435 14922 16580 24870 27809 29844 37305 49740 55618 74610 83427 111236 139045 149220 166854 250281 278090 333708 417135 500562 556180 834270 1001124 1251405 1668540 2502810 5005620 23053661 46107322 69160983 92214644 115268305 138321966 207482949 230536610 276643932 345804915 414965898 461073220 691609830 829931796 1037414745 1383219660 2074829490 4149658980