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72877005256040 = 23517241391523131
BaseRepresentation
bin10000100100100000000000…
…000000101011010101101000
3100120000222021210120200100022
4100210200000000223111220
534023004101321143130
6414555122314500012
721231122061562556
oct2044400000532550
9316028253520308
1072877005256040
1121247a67627277
128210075734608
13318836ca884ab
1413dd3a17babd6
15865a713cc7e5
hex42480002b568

72877005256040 has 96 divisors (see below), whose sum is σ = 174228327842400. Its totient is φ = 27429402362880.

The previous prime is 72877005256009. The next prime is 72877005256063. The reversal of 72877005256040 is 4065250077827.

It is a super-2 number, since 2×728770052560402 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 47085275 + ... + 48608405.

It is an arithmetic number, because the mean of its divisors is an integer number (1814878415025).

Almost surely, 272877005256040 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 72877005256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87114163921200).

72877005256040 is an abundant number, since it is smaller than the sum of its proper divisors (101351322586360).

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

72877005256040 is a wasteful number, since it uses less digits than its factorization.

72877005256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527315 (or 1527294 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 53.

The spelling of 72877005256040 in words is "seventy-two trillion, eight hundred seventy-seven billion, five million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 4139 5780 8278 11560 16556 20695 33112 41390 70363 82780 140726 165560 281452 351815 562904 703630 1196171 1407260 1523131 2392342 2814520 3046262 4784684 5980855 6092524 7615655 9569368 11961710 12185048 15231310 23923420 25893227 30462620 47846840 51786454 60925240 103572908 129466135 207145816 258932270 440184859 517864540 880369718 1035729080 1760739436 2200924295 3521478872 4401848590 6304239209 8803697180 12608478418 17607394360 25216956836 31521196045 50433913672 63042392090 107172066553 126084784180 214344133106 252169568360 428688266212 535860332765 857376532424 1071720665530 1821925131401 2143441331060 3643850262802 4286882662120 7287700525604 9109625657005 14575401051208 18219251314010 36438502628020 72877005256040