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5900498464 = 25726615693
BaseRepresentation
bin1010111111011001…
…00111011000100000
3120020012211101020011
411133230213120200
544041011422324
62413300054304
7266135260300
oct53754473040
916205741204
105900498464
11255874a913
121188094394
1373059b113
143dd90b600
15248030c94
hex15fb27620

5900498464 has 72 divisors (see below), whose sum is σ = 13536015948. Its totient is φ = 2524515840.

The previous prime is 5900498441. The next prime is 5900498473. The reversal of 5900498464 is 4648940095.

It can be written as a sum of positive squares in 2 ways, for example, as 5881662864 + 18835600 = 76692^2 + 4340^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033602 + ... + 1039294.

Almost surely, 25900498464 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 5900498464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768007974).

5900498464 is an abundant number, since it is smaller than the sum of its proper divisors (7635517484).

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

5900498464 is a wasteful number, since it uses less digits than its factorization.

5900498464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 5900498464 is about 76814.7021344222. The cubic root of 5900498464 is about 1807.0197553984.

The spelling of 5900498464 in words is "five billion, nine hundred million, four hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 661 784 1322 1568 2644 4627 5288 5693 9254 10576 11386 18508 21152 22772 32389 37016 39851 45544 64778 74032 79702 91088 129556 148064 159404 182176 259112 278957 318808 518224 557914 637616 1036448 1115828 1275232 2231656 3763073 4463312 7526146 8926624 15052292 26341511 30104584 52683022 60209168 105366044 120418336 184390577 210732088 368781154 421464176 737562308 842928352 1475124616 2950249232 5900498464