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146516430552 = 23337916107787
BaseRepresentation
bin1000100001110100001…
…1110100111011011000
3112000011222111211221220
42020131003310323120
54400031201234202
6151150403332040
713404546053052
oct2103503647330
9460158454856
10146516430552
1157156783938
1224490081020
1310a7c94666b
14713cc6c8d2
153c27d6aabc
hex221d0f4ed8

146516430552 has 32 divisors (see below), whose sum is σ = 367257566400. Its totient is φ = 48709944864.

The previous prime is 146516430527. The next prime is 146516430559. The reversal of 146516430552 is 255034615641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146516430559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8044798 + ... + 8062989.

It is an arithmetic number, because the mean of its divisors is an integer number (11476798950).

Almost surely, 2146516430552 is an apocalyptic number.

146516430552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146516430552 is an abundant number, since it is smaller than the sum of its proper divisors (220741135848).

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

146516430552 is a wasteful number, since it uses less digits than its factorization.

146516430552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16108175 (or 16108171 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 146516430552 in words is "one hundred forty-six billion, five hundred sixteen million, four hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 379 758 1137 1516 2274 3032 4548 9096 16107787 32215574 48323361 64431148 96646722 128862296 193293444 386586888 6104851273 12209702546 18314553819 24419405092 36629107638 48838810184 73258215276 146516430552