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5348536992 = 2532137283479
BaseRepresentation
bin1001111101100110…
…00011001010100000
3111210202012211102200
410332303003022200
541423211140432
62242421413200
7246353546211
oct47663031240
914722184380
105348536992
1122a5123007
12105326a200
13673121bb6
1438a4ab408
15214851a7c
hex13ecc32a0

5348536992 has 144 divisors (see below), whose sum is σ = 15407159040. Its totient is φ = 1759896576.

The previous prime is 5348536979. The next prime is 5348537057. The reversal of 5348536992 is 2996358435.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11165809 + ... + 11166287.

It is an arithmetic number, because the mean of its divisors is an integer number (106994160).

Almost surely, 25348536992 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 5348536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703579520).

5348536992 is an abundant number, since it is smaller than the sum of its proper divisors (10058622048).

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

5348536992 is a wasteful number, since it uses less digits than its factorization.

5348536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 5348536992 is about 73133.6925910349. The cubic root of 5348536992 is about 1748.8195567948.

The spelling of 5348536992 in words is "five billion, three hundred forty-eight million, five hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 283 288 411 479 548 566 822 849 958 1096 1132 1233 1437 1644 1698 1916 2192 2264 2466 2547 2874 3288 3396 3832 4311 4384 4528 4932 5094 5748 6576 6792 7664 8622 9056 9864 10188 11496 13152 13584 15328 17244 19728 20376 22992 27168 34488 38771 39456 40752 45984 65623 68976 77542 81504 116313 131246 135557 137952 155084 196869 232626 262492 271114 310168 348939 393738 406671 465252 524984 542228 590607 620336 697878 787476 813342 930504 1049968 1084456 1181214 1220013 1240672 1395756 1574952 1626684 1861008 2099936 2168912 2362428 2440026 2791512 3149904 3253368 3722016 4337824 4724856 4880052 5583024 6299808 6506736 9449712 9760104 11166048 13013472 18571309 18899424 19520208 37142618 39040416 55713927 74285236 111427854 148570472 167141781 222855708 297140944 334283562 445711416 594281888 668567124 891422832 1337134248 1782845664 2674268496 5348536992