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5371217920 = 21151921453
BaseRepresentation
bin1010000000010011…
…00100100000000000
3111212022220010211001
411000021210200000
542000012433140
62244551501344
7250050412315
oct50011444000
914768803731
105371217920
112306a04582
12105a987854
13677a33673
1438d4d2d0c
15216831e9a
hex140264800

5371217920 has 144 divisors (see below), whose sum is σ = 13611141180. Its totient is φ = 2034008064.

The previous prime is 5371217909. The next prime is 5371217953. The reversal of 5371217920 is 297121735.

It can be written as a sum of positive squares in 2 ways, for example, as 5060330496 + 310887424 = 71136^2 + 17632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5371217920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3695914 + ... + 3697366.

Almost surely, 25371217920 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 5371217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805570590).

5371217920 is an abundant number, since it is smaller than the sum of its proper divisors (8239923260).

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

5371217920 is a wasteful number, since it uses less digits than its factorization.

5371217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 5371217920 is about 73288.5933825995. The cubic root of 5371217920 is about 1751.2880769922.

The spelling of 5371217920 in words is "five billion, three hundred seventy-one million, two hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 361 380 512 608 640 722 760 1024 1216 1280 1444 1453 1520 1805 2048 2432 2560 2888 2906 3040 3610 4864 5120 5776 5812 6080 7220 7265 9728 10240 11552 11624 12160 14440 14530 19456 23104 23248 24320 27607 28880 29060 38912 46208 46496 48640 55214 57760 58120 92416 92992 97280 110428 115520 116240 138035 184832 185984 194560 220856 231040 232480 276070 369664 371968 441712 462080 464960 524533 552140 739328 743936 883424 924160 929920 1049066 1104280 1487872 1766848 1848320 1859840 2098132 2208560 2622665 2975744 3533696 3696640 3719680 4196264 4417120 5245330 7067392 7439360 8392528 8834240 10490660 14134784 14878720 16785056 17668480 20981320 28269568 33570112 35336960 41962640 56539136 67140224 70673920 83925280 134280448 141347840 167850560 268560896 282695680 335701120 537121792 671402240 1074243584 1342804480 2685608960 5371217920