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55993537152 = 273273141707
BaseRepresentation
bin110100001001011110…
…011001001010000000
312100112021201101221100
4310021132121022000
51404133321142102
641420103454400
74021400133000
oct641136311200
9170467641840
1055993537152
112182398a243
12aa28157400
1353846b4c07
1429d273a000
1516cab52a1c
hexd09799280

55993537152 has 192 divisors, whose sum is σ = 187904808000. Its totient is φ = 15998040576.

The previous prime is 55993537151. The next prime is 55993537153. The reversal of 55993537152 is 25173539955.

55993537152 is a `hidden beast` number, since 5 + 5 + 9 + 93 + 537 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55993537151) and next prime (55993537153).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×559935371522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55993537151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324283 + ... + 465989.

It is an arithmetic number, because the mean of its divisors is an integer number (978670875).

Almost surely, 255993537152 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 55993537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952404000).

55993537152 is an abundant number, since it is smaller than the sum of its proper divisors (131911270848).

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

55993537152 is a wasteful number, since it uses less digits than its factorization.

55993537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141748 (or 141719 counting only the distinct ones).

The product of its digits is 6378750, while the sum is 54.

The spelling of 55993537152 in words is "fifty-five billion, nine hundred ninety-three million, five hundred thirty-seven thousand, one hundred fifty-two".