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11442106464 = 253331935911
BaseRepresentation
bin10101010100000000…
…01011000001100000
31002112102100020021220
422222000023001200
5141413134401324
65131220015040
7553355204655
oct125200130140
932472306256
1011442106464
114941852a38
122273b31480
1311046bc4c9
147a78b5c2c
1546e7bdb79
hex2aa00b060

11442106464 has 48 divisors (see below), whose sum is σ = 30045415680. Its totient is φ = 3812780160.

The previous prime is 11442106439. The next prime is 11442106549. The reversal of 11442106464 is 46460124411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300669 + ... + 336579.

It is an arithmetic number, because the mean of its divisors is an integer number (625946160).

Almost surely, 211442106464 is an apocalyptic number.

It is an amenable number.

11442106464 is an abundant number, since it is smaller than the sum of its proper divisors (18603309216).

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

11442106464 is a wasteful number, since it uses less digits than its factorization.

11442106464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39243 (or 39235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 11442106464 in words is "eleven billion, four hundred forty-two million, one hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3319 6638 9957 13276 19914 26552 35911 39828 53104 71822 79656 106208 107733 143644 159312 215466 287288 318624 430932 574576 861864 1149152 1723728 3447456 119188609 238377218 357565827 476754436 715131654 953508872 1430263308 1907017744 2860526616 3814035488 5721053232 11442106464