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5146221120 = 263516213307
BaseRepresentation
bin1001100101011110…
…10001101001000000
3111021122112010020020
410302233101221000
541014413033440
62210353213440
7241346105055
oct46257215100
914248463206
105146221120
1122009a9107
12bb7561280
13640236771
1436b68502c
15201bdb3d0
hex132bd1a40

5146221120 has 112 divisors (see below), whose sum is σ = 16354275648. Its totient is φ = 1371064320.

The previous prime is 5146221097. The next prime is 5146221121. The reversal of 5146221120 is 211226415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5146221121) 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, 1554507 + ... + 1557813.

Almost surely, 25146221120 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 5146221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177137824).

5146221120 is an abundant number, since it is smaller than the sum of its proper divisors (11208054528).

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

5146221120 is a wasteful number, since it uses less digits than its factorization.

5146221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5146221120 is about 71737.1669359754. The cubic root of 5146221120 is about 1726.4850190456.

Adding to 5146221120 its reverse (211226415), we get a palindrome (5357447535).

The spelling of 5146221120 in words is "five billion, one hundred forty-six million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1621 3242 3307 4863 6484 6614 8105 9726 9921 12968 13228 16210 16535 19452 19842 24315 25936 26456 32420 33070 38904 39684 48630 49605 51872 52912 64840 66140 77808 79368 97260 99210 103744 105824 129680 132280 155616 158736 194520 198420 211648 259360 264560 311232 317472 389040 396840 518720 529120 634944 778080 793680 1058240 1556160 1587360 3174720 5360647 10721294 16081941 21442588 26803235 32163882 42885176 53606470 64327764 80409705 85770352 107212940 128655528 160819410 171540704 214425880 257311056 321638820 343081408 428851760 514622112 643277640 857703520 1029244224 1286555280 1715407040 2573110560 5146221120