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632642100030 = 233520391149151
BaseRepresentation
bin10010011010011000110…
…10000101101100111110
32020110221220201112202000
421031030122011230332
540331122334200110
61202344243443130
763464314060263
oct11151432055476
92213856645660
10632642100030
11224335a77476
12a273a6864a6
1347872515bb5
142289756d26a
15116ca8e11c0
hex934c685b3e

632642100030 has 64 divisors (see below), whose sum is σ = 1687874457600. Its totient is φ = 168621674400.

The previous prime is 632642099993. The next prime is 632642100031. The reversal of 632642100030 is 30001246236.

632642100030 is a `hidden beast` number, since 6 + 3 + 2 + 642 + 10 + 0 + 0 + 3 + 0 = 666.

632642100030 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 632642099967 and 632642100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632642100031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24046 + ... + 1125105.

It is an arithmetic number, because the mean of its divisors is an integer number (26373038400).

Almost surely, 2632642100030 is an apocalyptic number.

632642100030 is an abundant number, since it is smaller than the sum of its proper divisors (1055232357570).

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

632642100030 is a wasteful number, since it uses less digits than its factorization.

632642100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151206 (or 1151200 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 632642100030 its reverse (30001246236), we get a palindrome (662643346266).

The spelling of 632642100030 in words is "six hundred thirty-two billion, six hundred forty-two million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2039 4078 6117 10195 12234 18351 20390 30585 36702 55053 61170 91755 110106 183510 275265 550530 1149151 2298302 3447453 5745755 6894906 10342359 11491510 17237265 20684718 31027077 34474530 51711795 62054154 103423590 155135385 310270770 2343118889 4686237778 7029356667 11715594445 14058713334 21088070001 23431188890 35146783335 42176140002 63264210003 70293566670 105440350005 126528420006 210880700010 316321050015 632642100030