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642210452040 = 23355416798801
BaseRepresentation
bin10010101100001101011…
…10011101001001001000
32021101122202021012010210
421112012232131021020
541010221333431130
61211005530441120
764253400526263
oct11260656351110
92241582235123
10642210452040
112283a606aa03
12a456ab931a0
1348738960951
142312424dcda
1511a8a9385b0
hex9586b9d248

642210452040 has 64 divisors (see below), whose sum is σ = 1926686424960. Its totient is φ = 171251225600.

The previous prime is 642210452011. The next prime is 642210452047. The reversal of 642210452040 is 40254012246.

It is a super-2 number, since 2×6422104520402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 642210451989 and 642210452007.

It is not an unprimeable number, because it can be changed into a prime (642210452047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6450640 + ... + 6549440.

It is an arithmetic number, because the mean of its divisors is an integer number (30104475390).

Almost surely, 2642210452040 is an apocalyptic number.

642210452040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642210452040 is an abundant number, since it is smaller than the sum of its proper divisors (1284475972920).

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

642210452040 is a wasteful number, since it uses less digits than its factorization.

642210452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152982 (or 152978 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 642210452040 its reverse (40254012246), we get a palindrome (682464464286).

The spelling of 642210452040 in words is "six hundred forty-two billion, two hundred ten million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 54167 98801 108334 162501 197602 216668 270835 296403 325002 395204 433336 494005 541670 592806 650004 790408 812505 988010 1083340 1185612 1300008 1482015 1625010 1976020 2166680 2371224 2964030 3250020 3952040 5928060 6500040 11856120 5351753767 10703507534 16055261301 21407015068 26758768835 32110522602 42814030136 53517537670 64221045204 80276306505 107035075340 128442090408 160552613010 214070150680 321105226020 642210452040