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5465901408 = 253116737691
BaseRepresentation
bin1010001011100101…
…10000100101100000
3112002221001120010220
411011302300211200
542143232321113
62302213123040
7252310252422
oct50562604540
915087046126
105465901408
1123553a46a0
121086629480
136915352b6
1439bcdc812
1521ecd6523
hex145cb0960

5465901408 has 96 divisors (see below), whose sum is σ = 15677649792. Its totient is φ = 1653657600.

The previous prime is 5465901407. The next prime is 5465901409. The reversal of 5465901408 is 8041095645.

It is an interprime number because it is at equal distance from previous prime (5465901407) and next prime (5465901409).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5465901408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465901407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706843 + ... + 714533.

It is an arithmetic number, because the mean of its divisors is an integer number (163308852).

Almost surely, 25465901408 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 5465901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838824896).

5465901408 is an abundant number, since it is smaller than the sum of its proper divisors (10211748384).

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

5465901408 is a wasteful number, since it uses less digits than its factorization.

5465901408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5465901408 is about 73931.7347828387. The cubic root of 5465901408 is about 1761.5187269725.

The spelling of 5465901408 in words is "five billion, four hundred sixty-five million, nine hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 673 1056 1346 2019 2692 4038 5384 7403 7691 8076 10768 14806 15382 16152 21536 22209 23073 29612 30764 32304 44418 46146 59224 61528 64608 84601 88836 92292 118448 123056 169202 177672 184584 236896 246112 253803 338404 355344 369168 507606 676808 710688 738336 1015212 1353616 2030424 2707232 4060848 5176043 8121696 10352086 15528129 20704172 31056258 41408344 56936473 62112516 82816688 113872946 124225032 165633376 170809419 227745892 248450064 341618838 455491784 496900128 683237676 910983568 1366475352 1821967136 2732950704 5465901408