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5140701504 = 26335356131
BaseRepresentation
bin1001100100110100…
…01110000101000000
3111021021010200202000
410302122032011000
541012004422004
62210035024000
7241251145641
oct46232160500
914237120660
105140701504
1121a8879144
12bb573b000
1363c053313
1436aa496c8
1520149ac39
hex13268e140

5140701504 has 112 divisors (see below), whose sum is σ = 15398130240. Its totient is φ = 1681205760.

The previous prime is 5140701439. The next prime is 5140701521. The reversal of 5140701504 is 4051070415.

It is a happy number.

5140701504 is a `hidden beast` number, since 51 + 40 + 70 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63519 + ... + 119649.

Almost surely, 25140701504 is an apocalyptic number.

5140701504 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 5140701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699065120).

5140701504 is an abundant number, since it is smaller than the sum of its proper divisors (10257428736).

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

5140701504 is a wasteful number, since it uses less digits than its factorization.

5140701504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56205 (or 56189 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5140701504 is about 71698.6855109632. The cubic root of 5140701504 is about 1725.8675469799.

Adding to 5140701504 its reverse (4051070415), we get a palindrome (9191771919).

The spelling of 5140701504 in words is "five billion, one hundred forty million, seven hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 5088 5724 7632 10176 11448 15264 22896 30528 45792 56131 91584 112262 168393 224524 336786 449048 505179 673572 898096 1010358 1347144 1515537 1796192 2020716 2694288 2974943 3031074 3592384 4041432 5388576 5949886 6062148 8082864 8924829 10777152 11899772 12124296 16165728 17849658 23799544 24248592 26774487 32331456 35699316 47599088 48497184 53548974 71398632 80323461 95198176 96994368 107097948 142797264 160646922 190396352 214195896 285594528 321293844 428391792 571189056 642587688 856783584 1285175376 1713567168 2570350752 5140701504