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5333861364 = 2231331247757
BaseRepresentation
bin1001111011110110…
…00100001111110100
3111202201121020020220
410331323010033310
541410432030424
62241135054340
7246115034136
oct47573041764
914681536226
105333861364
112297909a97
12104a3713b0
136700840b0
1438856b056
15213403579
hex13dec43f4

5333861364 has 144 divisors (see below), whose sum is σ = 14162690304. Its totient is φ = 1552400640.

The previous prime is 5333861363. The next prime is 5333861371. The reversal of 5333861364 is 4631683335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333861363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7045674 + ... + 7046430.

It is an arithmetic number, because the mean of its divisors is an integer number (98352016).

Almost surely, 25333861364 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 5333861364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081345152).

5333861364 is an abundant number, since it is smaller than the sum of its proper divisors (8828828940).

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

5333861364 is a wasteful number, since it uses less digits than its factorization.

5333861364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 853 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 5333861364 is about 73033.2894233856. The cubic root of 5333861364 is about 1747.2185872292.

The spelling of 5333861364 in words is "five billion, three hundred thirty-three million, eight hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 31 39 47 52 62 78 93 94 124 141 156 186 188 282 372 403 564 611 757 806 961 1209 1222 1457 1514 1612 1833 1922 2271 2418 2444 2883 2914 3028 3666 3844 4371 4542 4836 5766 5828 7332 8742 9084 9841 11532 12493 17484 18941 19682 23467 24986 29523 35579 37479 37882 39364 45167 46934 49972 56823 59046 70401 71158 74958 75764 90334 93868 106737 113646 118092 135501 140802 142316 149916 180668 213474 227292 271002 281604 305071 426948 462527 542004 587171 610142 727477 915213 925054 1102949 1174342 1220284 1387581 1454954 1761513 1830426 1850108 2182431 2205898 2348684 2775162 2909908 3308847 3523026 3660852 4364862 4411796 5550324 6617694 7046052 8729724 9457201 13235388 14338337 18914402 28371603 28676674 34191419 37828804 43015011 56743206 57353348 68382838 86030022 102574257 113486412 136765676 172060044 205148514 410297028 444488447 888976894 1333465341 1777953788 2666930682 5333861364