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56145405804 = 223297313116871
BaseRepresentation
bin110100010010100001…
…101110011101101100
312100220212111010120020
4310102201232131230
51404441210441204
641443130522140
74025223034515
oct642241563554
9170825433506
1056145405804
11218a1688424
12aa6ab96350
1353a9cb9517
142a0898da0c
1516d9150bd9
hexd1286e76c

56145405804 has 96 divisors (see below), whose sum is σ = 138436784640. Its totient is φ = 17685158400.

The previous prime is 56145405791. The next prime is 56145405809. The reversal of 56145405804 is 40850454165.

56145405804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56145405809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3319489 + ... + 3336359.

It is an arithmetic number, because the mean of its divisors is an integer number (1442049840).

Almost surely, 256145405804 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 56145405804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69218392320).

56145405804 is an abundant number, since it is smaller than the sum of its proper divisors (82291378836).

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

56145405804 is a wasteful number, since it uses less digits than its factorization.

56145405804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17111 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

Adding to 56145405804 its reverse (40850454165), we get a palindrome (96995859969).

The spelling of 56145405804 in words is "fifty-six billion, one hundred forty-five million, four hundred five thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 29 58 73 87 116 131 146 174 219 262 292 348 393 438 524 786 876 1572 2117 3799 4234 6351 7598 8468 9563 11397 12702 15196 16871 19126 22794 25404 28689 33742 38252 45588 50613 57378 67484 101226 114756 202452 277327 489259 554654 831981 978518 1109308 1231583 1467777 1663962 1957036 2210101 2463166 2935554 3327924 3694749 4420202 4926332 5871108 6630303 7389498 8840404 13260606 14778996 26521212 35715907 64092929 71431814 107147721 128185858 142863628 161337373 192278787 214295442 256371716 322674746 384557574 428590884 484012119 645349492 769115148 968024238 1936048476 4678783817 9357567634 14036351451 18715135268 28072702902 56145405804