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4137004740 = 22351117368717
BaseRepresentation
bin1111011010010101…
…1010111011000100
3101200022111121121210
43312211122323010
531433033122430
61522302211420
7204342650211
oct36645327304
911608447553
104137004740
11183325a990
12975583b70
1350c1205cb
142b3618b08
151932d92b0
hexf695aec4

4137004740 has 96 divisors (see below), whose sum is σ = 13380038784. Its totient is φ = 943912960.

The previous prime is 4137004727. The next prime is 4137004741. The reversal of 4137004740 is 474007314.

It is a super-2 number, since 2×41370047402 = 34229616437564935200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4137004698 and 4137004707.

It is not an unprimeable number, because it can be changed into a prime (4137004741) 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, 173139 + ... + 195578.

It is an arithmetic number, because the mean of its divisors is an integer number (139375404).

Almost surely, 24137004740 is an apocalyptic number.

It is an amenable number.

4137004740 is an abundant number, since it is smaller than the sum of its proper divisors (9243034044).

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

4137004740 is a wasteful number, since it uses less digits than its factorization.

4137004740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368757 (or 368755 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4137004740 is about 64319.5517708263. The cubic root of 4137004740 is about 1605.3214406513.

The spelling of 4137004740 in words is "four billion, one hundred thirty-seven million, four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 368717 737434 1106151 1474868 1843585 2212302 3687170 4055887 4424604 5530755 6268189 7374340 8111774 11061510 12167661 12536378 16223548 18804567 20279435 22123020 24335322 25072756 31340945 37609134 40558870 48670644 60838305 62681890 68950079 75218268 81117740 94022835 121676610 125363780 137900158 188045670 206850237 243353220 275800316 344750395 376091340 413700474 689500790 827400948 1034251185 1379001580 2068502370 4137004740