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5140977722860 = 2257317271629377
BaseRepresentation
bin100101011001111101000…
…1001101010010111101100
3200012110202120120110210011
41022303322021222113230
51133212210244112420
614533422122223004
71040265135430330
oct112637211522754
920173676513704
105140977722860
111702304999321
126b0433054a64
132b3a3b3936a5
1413ab78ba37c0
158dade1c395a
hex4acfa26a5ec

5140977722860 has 96 divisors (see below), whose sum is σ = 12753884602368. Its totient is φ = 1703414845440.

The previous prime is 5140977722831. The next prime is 5140977722869. The reversal of 5140977722860 is 682277790415.

It is a junction number, because it is equal to n+sod(n) for n = 5140977722795 and 5140977722804.

It is not an unprimeable number, because it can be changed into a prime (5140977722869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340492 + ... + 3969868.

It is an arithmetic number, because the mean of its divisors is an integer number (132852964608).

Almost surely, 25140977722860 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 5140977722860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376942301184).

5140977722860 is an abundant number, since it is smaller than the sum of its proper divisors (7612906879508).

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

5140977722860 is a wasteful number, since it uses less digits than its factorization.

5140977722860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630151 (or 1630149 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 5140977722860 in words is "five trillion, one hundred forty billion, nine hundred seventy-seven million, seven hundred twenty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 727 868 1085 1454 2170 2908 3635 4340 5089 7270 10178 14540 20356 22537 25445 45074 50890 90148 101780 112685 157759 225370 315518 450740 631036 788795 1577590 1629377 3155180 3258754 6517508 8146885 11405639 16293770 22811278 32587540 45622556 50510687 57028195 101021374 114056390 202042748 228112780 252553435 353574809 505106870 707149618 1010213740 1184557079 1414299236 1767874045 2369114158 3535748090 4738228316 5922785395 7071496180 8291899553 11845570790 16583799106 23691141580 33167598212 36721269449 41459497765 73442538898 82918995530 146885077796 165837991060 183606347245 257048886143 367212694490 514097772286 734425388980 1028195544572 1285244430715 2570488861430 5140977722860