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5465058336 = 25352330557
BaseRepresentation
bin1010001011011111…
…00010110000100000
3112002212110201200000
411011233202300200
542143023331321
62302143100000
7252300141453
oct50557426040
915085421600
105465058336
112354979241
1210862a1600
136912cb63a
1439bb5d49a
1521ebbb826
hex145be2c20

5465058336 has 144 divisors (see below), whose sum is σ = 16818145344. Its totient is φ = 1742425344.

The previous prime is 5465058329. The next prime is 5465058343. The reversal of 5465058336 is 6338505645.

5465058336 is a `hidden beast` number, since 5 + 4 + 65 + 0 + 583 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5465058329) and next prime (5465058343).

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

It is a junction number, because it is equal to n+sod(n) for n = 5465058291 and 5465058300.

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, 163570 + ... + 194126.

It is an arithmetic number, because the mean of its divisors is an integer number (116792676).

Almost surely, 25465058336 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 5465058336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409072672).

5465058336 is an abundant number, since it is smaller than the sum of its proper divisors (11353087008).

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

5465058336 is a wasteful number, since it uses less digits than its factorization.

5465058336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30605 (or 30585 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5465058336 is about 73926.0328707012. The cubic root of 5465058336 is about 1761.4281555451.

The spelling of 5465058336 in words is "five billion, four hundred sixty-five million, fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7452 7776 9936 11178 14904 19872 22356 29808 30557 44712 59616 61114 89424 91671 122228 178848 183342 244456 275013 366684 488912 550026 702811 733368 825039 977824 1100052 1405622 1466736 1650078 2108433 2200104 2475117 2811244 2933472 3300156 4216866 4400208 4950234 5622488 6325299 6600312 7425351 8433732 8800416 9900468 11244976 12650598 13200624 14850702 16867464 18975897 19800936 22489952 25301196 26401248 29701404 33734928 37951794 39601872 50602392 56927691 59402808 67469856 75903588 79203744 101204784 113855382 118805616 151807176 170783073 202409568 227710764 237611232 303614352 341566146 455421528 607228704 683132292 910843056 1366264584 1821686112 2732529168 5465058336