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10552414104 = 2333192135329
BaseRepresentation
bin10011101001111100…
…10000111110011000
31000020102020011211000
421310332100332120
5133102404222404
64503034505000
7522333016461
oct116476207630
930212204730
1010552414104
1145256209a1
122065b95160
13cc229471b
1472167dd68
1541b62b339
hex274f90f98

10552414104 has 96 divisors (see below), whose sum is σ = 30936438000. Its totient is φ = 3332316672.

The previous prime is 10552414091. The next prime is 10552414111. The reversal of 10552414104 is 40141425501.

10552414104 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 241 + 410 + 4 = 666.

It is a super-2 number, since 2×105524141042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10312 + ... + 145640.

Almost surely, 210552414104 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 10552414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468219000).

10552414104 is an abundant number, since it is smaller than the sum of its proper divisors (20384023896).

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

10552414104 is a wasteful number, since it uses less digits than its factorization.

10552414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135382 (or 135353 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10552414104 its reverse (40141425501), we get a palindrome (50693839605).

The spelling of 10552414104 in words is "ten billion, five hundred fifty-two million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 6498 8664 9747 12996 19494 25992 38988 77976 135329 270658 405987 541316 811974 1082632 1217961 1623948 2435922 2571251 3247896 3653883 4871844 5142502 7307766 7713753 9743688 10285004 14615532 15427506 20570008 23141259 29231064 30855012 46282518 48853769 61710024 69423777 92565036 97707538 138847554 146561307 185130072 195415076 277695108 293122614 390830152 439683921 555390216 586245228 879367842 1172490456 1319051763 1758735684 2638103526 3517471368 5276207052 10552414104