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5214456160 = 255971791877
BaseRepresentation
bin1001101101100111…
…00100100101100000
3111110101220211002221
410312303210211200
541134400044120
62221231520424
7243135101044
oct46663444540
914411824087
105214456160
112236474101
121016389114
13651407b24
14376768024
15207bb90aa
hex136ce4960

5214456160 has 96 divisors (see below), whose sum is σ = 12522353760. Its totient is φ = 2051653632.

The previous prime is 5214456127. The next prime is 5214456161. The reversal of 5214456160 is 616544125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214456161) 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, 2777142 + ... + 2779018.

It is an arithmetic number, because the mean of its divisors is an integer number (130441185).

Almost surely, 25214456160 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 5214456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261176880).

5214456160 is an abundant number, since it is smaller than the sum of its proper divisors (7307897600).

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

5214456160 is a wasteful number, since it uses less digits than its factorization.

5214456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 5214456160 is about 72211.1913764065. The cubic root of 5214456160 is about 1734.0821728217.

The spelling of 5214456160 in words is "five billion, two hundred fourteen million, four hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 179 194 358 388 485 716 776 895 970 1432 1552 1790 1877 1940 2864 3104 3580 3754 3880 5728 7160 7508 7760 9385 14320 15016 15520 17363 18770 28640 30032 34726 37540 60064 69452 75080 86815 138904 150160 173630 182069 277808 300320 335983 347260 364138 555616 671966 694520 728276 910345 1343932 1389040 1456552 1679915 1820690 2687864 2778080 2913104 3359830 3641380 5375728 5826208 6719660 7282760 10751456 13439320 14565520 26878640 29131040 32590351 53757280 65180702 130361404 162951755 260722808 325903510 521445616 651807020 1042891232 1303614040 2607228080 5214456160