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5140498464 = 253418110957
BaseRepresentation
bin1001100100110010…
…11100100000100000
3111021020202101020000
410302121130200200
541011431422324
62210030420000
7241246341663
oct46231344040
914236671200
105140498464
1121a874a642
12bb5661600
1363bcb1a8a
1436a9d56da
1520145a9c9
hex13265c820

5140498464 has 120 divisors (see below), whose sum is σ = 15202975788. Its totient is φ = 1703877120.

The previous prime is 5140498453. The next prime is 5140498483. The reversal of 5140498464 is 4648940415.

5140498464 is a `hidden beast` number, since 5 + 140 + 49 + 8 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4752723600 + 387774864 = 68940^2 + 19692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 463674 + ... + 474630.

Almost surely, 25140498464 is an apocalyptic number.

5140498464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140498464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601487894).

5140498464 is an abundant number, since it is smaller than the sum of its proper divisors (10062477324).

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

5140498464 is a wasteful number, since it uses less digits than its factorization.

5140498464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11160 (or 11143 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5140498464 is about 71697.2695714418. The cubic root of 5140498464 is about 1725.8448247399.

The spelling of 5140498464 in words is "five billion, one hundred forty million, four hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 288 324 362 432 543 648 724 864 1086 1296 1448 1629 2172 2592 2896 3258 4344 4887 5792 6516 8688 9774 10957 13032 14661 17376 19548 21914 26064 29322 32871 39096 43828 52128 58644 65742 78192 87656 98613 117288 131484 156384 175312 197226 234576 262968 295839 350624 394452 469152 525936 591678 788904 887517 1051872 1183356 1577808 1775034 1983217 2366712 3155616 3550068 3966434 4733424 5949651 7100136 7932868 9466848 11899302 14200272 15865736 17848953 23798604 28400544 31731472 35697906 47597208 53546859 63462944 71395812 95194416 107093718 142791624 160640577 190388832 214187436 285583248 321281154 428374872 571166496 642562308 856749744 1285124616 1713499488 2570249232 5140498464