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5346071808 = 28371190403
BaseRepresentation
bin1001111101010011…
…01001010100000000
3111210120120120211120
410332221221110000
541422043244213
62242252512240
7246323601120
oct47651512400
914716516746
105346071808
1122a3799970
12105247b680
1367276aacc
1438a028c80
15214516423
hex13ea69500

5346071808 has 144 divisors (see below), whose sum is σ = 17739434496. Its totient is φ = 1388574720.

The previous prime is 5346071803. The next prime is 5346071813. The reversal of 5346071808 is 8081706435.

It is an interprime number because it is at equal distance from previous prime (5346071803) and next prime (5346071813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5346071808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346071803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13935 + ... + 104337.

Almost surely, 25346071808 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 5346071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869717248).

5346071808 is an abundant number, since it is smaller than the sum of its proper divisors (12393362688).

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

5346071808 is a wasteful number, since it uses less digits than its factorization.

5346071808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90440 (or 90426 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5346071808 is about 73116.8366930627. The cubic root of 5346071808 is about 1748.5508338078.

The spelling of 5346071808 in words is "five billion, three hundred forty-six million, seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 90403 180806 271209 361612 542418 632821 723224 994433 1084836 1265642 1446448 1898463 1988866 2169672 2531284 2892896 2983299 3796926 3977732 4339344 5062568 5785792 5966598 6961031 7593852 7955464 8678688 10125136 11571584 11933196 13922062 15187704 15910928 17357376 20250272 20883093 23143168 23866392 27844124 30375408 31821856 34714752 40500544 41766186 47732784 55688248 60750816 63643712 69429504 81001088 83532372 95465568 111376496 121501632 127287424 162002176 167064744 190931136 222752992 243003264 254574848 334129488 381862272 445505984 486006528 668258976 763724544 891011968 1336517952 1782023936 2673035904 5346071808