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32214251004 = 223134323320611
BaseRepresentation
bin11110000000000111…
…100111010111111100
310002011001210111201120
4132000013213113330
51011433322013004
622444331110540
72220204421065
oct360007472774
9102131714646
1032214251004
1112731117641
1262b05a2450
1330650461b0
1417b855556c
15c8820d3d9
hex7801e75fc

32214251004 has 96 divisors (see below), whose sum is σ = 83190691584. Its totient is φ = 9639544320.

The previous prime is 32214250993. The next prime is 32214251033. The reversal of 32214251004 is 40015241223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552659 + ... + 1573269.

It is an arithmetic number, because the mean of its divisors is an integer number (866569704).

Almost surely, 232214251004 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 32214251004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41595345792).

32214251004 is an abundant number, since it is smaller than the sum of its proper divisors (50976440580).

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

32214251004 is a wasteful number, since it uses less digits than its factorization.

32214251004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907 (or 20905 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 32214251004 its reverse (40015241223), we get a palindrome (72229492227).

The spelling of 32214251004 in words is "thirty-two billion, two hundred fourteen million, two hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 233 258 466 516 559 699 932 1118 1398 1677 2236 2796 3029 3354 6058 6708 9087 10019 12116 18174 20038 20611 30057 36348 40076 41222 60114 61833 82444 120228 123666 130247 247332 260494 267943 390741 520988 535886 781482 803829 886273 1071772 1562964 1607658 1772546 2658819 3215316 3545092 4802363 5317638 9604726 10635276 11521549 14407089 19209452 23043098 28814178 34564647 46086196 57628356 62430719 69129294 124861438 138258588 187292157 206501609 249722876 374584314 413003218 619504827 749168628 826006436 1239009654 2478019308 2684520917 5369041834 8053562751 10738083668 16107125502 32214251004