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122437271552 = 21519332
BaseRepresentation
bin111001000000111010…
…1001000000000000000
3102201000212022211112012
41302001311020000000
54001222420142202
6132125155352052
711563052431241
oct1620165100000
9381025284465
10122437271552
1147a1a714332
121b88bbb2628
13b71312299b
145cd6d08cc8
1532b8e40152
hex1c81d48000

122437271552 has 48 divisors (see below), whose sum is σ = 244997551305. Its totient is φ = 61186965504.

The previous prime is 122437271543. The next prime is 122437271563. The reversal of 122437271552 is 255172734221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 118291972096 + 4145299456 = 343936^2 + 64384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247424.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 63339578 + ... + 63341510.

Almost surely, 2122437271552 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 122437271552

122437271552 is an abundant number, since it is smaller than the sum of its proper divisors (122560279753).

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

122437271552 is an frugal number, since it uses more digits than its factorization.

122437271552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 1935 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The spelling of 122437271552 in words is "one hundred twenty-two billion, four hundred thirty-seven million, two hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1933 2048 3866 4096 7732 8192 15464 16384 30928 32768 61856 123712 247424 494848 989696 1979392 3736489 3958784 7472978 7917568 14945956 15835136 29891912 31670272 59783824 63340544 119567648 239135296 478270592 956541184 1913082368 3826164736 7652329472 15304658944 30609317888 61218635776 122437271552