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46776796672 = 292332411627
BaseRepresentation
bin101011100100000111…
…010100011000000000
311110201221210110212211
4223210013110120000
51231244324443142
633253341031504
73244113132334
oct534407243000
9143657713784
1046776796672
1118924311751
129095555594
134546068a18
14239a6257c4
15133b911917
hexae41d4600

46776796672 has 80 divisors (see below), whose sum is σ = 94310762832. Its totient is φ = 23177134080.

The previous prime is 46776796643. The next prime is 46776796771. The reversal of 46776796672 is 27669767764.

It is a junction number, because it is equal to n+sod(n) for n = 46776796598 and 46776796607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28749523 + ... + 28751149.

Almost surely, 246776796672 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 46776796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47155381416).

46776796672 is an abundant number, since it is smaller than the sum of its proper divisors (47533966160).

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

46776796672 is a wasteful number, since it uses less digits than its factorization.

46776796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2103 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 67.

The spelling of 46776796672 in words is "forty-six billion, seven hundred seventy-six million, seven hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 233 241 256 466 482 512 932 964 1627 1864 1928 3254 3728 3856 6508 7456 7712 13016 14912 15424 26032 29824 30848 52064 56153 59648 61696 104128 112306 119296 123392 208256 224612 379091 392107 416512 449224 758182 784214 833024 898448 1516364 1568428 1796896 3032728 3136856 3593792 6065456 6273712 7187584 12130912 12547424 14375168 24261824 25094848 28750336 48523648 50189696 91360931 97047296 100379392 182721862 194094592 200758784 365443724 730887448 1461774896 2923549792 5847099584 11694199168 23388398336 46776796672