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5436077904 = 2432474012003
BaseRepresentation
bin1010001000000001…
…11111011101010000
3112000211221100222200
411010000333131100
542113113443104
62255230003200
7251465620425
oct50400773520
915024840880
105436077904
11233a584874
121078646500
136882c275a
14397d77d4c
1521c394b39
hex14403f750

5436077904 has 120 divisors (see below), whose sum is σ = 15583681152. Its totient is φ = 1768166400.

The previous prime is 5436077837. The next prime is 5436077917. The reversal of 5436077904 is 4097706345.

It is a self number, because there is not a number n which added to its sum of digits gives 5436077904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2712967 + ... + 2714969.

Almost surely, 25436077904 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 5436077904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791840576).

5436077904 is an abundant number, since it is smaller than the sum of its proper divisors (10147603248).

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

5436077904 is a wasteful number, since it uses less digits than its factorization.

5436077904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5436077904 is about 73729.7626742417. The cubic root of 5436077904 is about 1758.3091008712.

The spelling of 5436077904 in words is "five billion, four hundred thirty-six million, seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 401 423 564 752 802 846 1128 1203 1604 1692 2003 2256 2406 3208 3384 3609 4006 4812 6009 6416 6768 7218 8012 9624 12018 14436 16024 18027 18847 19248 24036 28872 32048 36054 37694 48072 56541 57744 72108 75388 94141 96144 113082 144216 150776 169623 188282 226164 282423 288432 301552 339246 376564 452328 564846 678492 753128 803203 847269 904656 1129692 1356984 1506256 1606406 1694538 2259384 2409609 2713968 3212812 3389076 4518768 4819218 6425624 6778152 7228827 9638436 12851248 13556304 14457654 19276872 28915308 37750541 38553744 57830616 75501082 113251623 115661232 151002164 226503246 302004328 339754869 453006492 604008656 679509738 906012984 1359019476 1812025968 2718038952 5436077904