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5974138688 = 267191016949
BaseRepresentation
bin1011001000001011…
…00001111101000000
3120102100101200121212
411210011201331000
544213334414223
62424450305252
7301021224650
oct54405417500
916370350555
105974138688
112596277901
1211a8888228
1374291280b
144095da360
1524e72a278
hex164161f40

5974138688 has 112 divisors (see below), whose sum is σ = 14404848000. Its totient is φ = 2401228800.

The previous prime is 5974138661. The next prime is 5974138697. The reversal of 5974138688 is 8868314795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×59741386882 = 71380666126916722688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856238 + ... + 863186.

Almost surely, 25974138688 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 5974138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202424000).

5974138688 is an abundant number, since it is smaller than the sum of its proper divisors (8430709312).

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

5974138688 is a wasteful number, since it uses less digits than its factorization.

5974138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7078 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 59.

The square root of 5974138688 is about 77292.5526037276. The cubic root of 5974138688 is about 1814.5061038538.

The spelling of 5974138688 in words is "five billion, nine hundred seventy-four million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 101 112 133 152 202 224 266 304 404 448 532 608 707 808 1064 1216 1414 1616 1919 2128 2828 3232 3838 4256 5656 6464 6949 7676 8512 11312 13433 13898 15352 22624 26866 27796 30704 45248 48643 53732 55592 61408 97286 107464 111184 122816 132031 194572 214928 222368 264062 389144 429856 444736 528124 701849 778288 859712 924217 1056248 1403698 1556576 1848434 2112496 2807396 3113152 3696868 4224992 4912943 5614792 7393736 8449984 9825886 11229584 13335131 14787472 19651772 22459168 26670262 29574944 39303544 44918336 53340524 59149888 78607088 93345917 106681048 157214176 186691834 213362096 314428352 373383668 426724192 746767336 853448384 1493534672 2987069344 5974138688