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5007004640 = 2551119149731
BaseRepresentation
bin1001010100111000…
…01101001111100000
3110220221120012010022
410222130031033200
540223243122030
62144501253012
7235035560111
oct45234151740
913827505108
105007004640
11213a361770
12b78a04168
1361a441c51
14356da6208
151e488bde5
hex12a70d3e0

5007004640 has 96 divisors (see below), whose sum is σ = 13583687040. Its totient is φ = 1724889600.

The previous prime is 5007004637. The next prime is 5007004643. The reversal of 5007004640 is 464007005.

It is an interprime number because it is at equal distance from previous prime (5007004637) and next prime (5007004643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007004643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41426 + ... + 108305.

It is an arithmetic number, because the mean of its divisors is an integer number (141496740).

Almost surely, 25007004640 is an apocalyptic number.

It is an amenable number.

5007004640 is an abundant number, since it is smaller than the sum of its proper divisors (8576682400).

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

5007004640 is a wasteful number, since it uses less digits than its factorization.

5007004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149776 (or 149768 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5007004640 is about 70760.1910681423. The cubic root of 5007004640 is about 1710.7740918057.

The spelling of 5007004640 in words is "five billion, seven million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 149731 299462 598924 748655 1197848 1497310 1647041 2395696 2844889 2994620 3294082 4791392 5689778 5989240 6588164 8235205 11379556 11978480 13176328 14224445 16470410 22759112 23956960 26352656 28448890 31293779 32940820 45518224 52705312 56897780 62587558 65881640 91036448 113795560 125175116 131763280 156468895 227591120 250350232 263526560 312937790 455182240 500700464 625875580 1001400928 1251751160 2503502320 5007004640