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93030210468 = 2232132967263389
BaseRepresentation
bin101011010100100001…
…0000101101110100100
322220010102202100102200
41112221002011232210
53011011213213333
6110423144134500
76502242512256
oct1265102055644
9286112670380
1093030210468
11364aa146068
1216043767430
138a07853520
144707529cd6
1526473dbc13
hex15a9085ba4

93030210468 has 288 divisors, whose sum is σ = 267588921600. Its totient is φ = 27051881472.

The previous prime is 93030210467. The next prime is 93030210499. The reversal of 93030210468 is 86401203039.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (93030210467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239152018 + ... + 239152406.

It is an arithmetic number, because the mean of its divisors is an integer number (929128200).

Almost surely, 293030210468 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 93030210468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133794460800).

93030210468 is an abundant number, since it is smaller than the sum of its proper divisors (174558711132).

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

93030210468 is a wasteful number, since it uses less digits than its factorization.

93030210468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 93030210468 in words is "ninety-three billion, thirty million, two hundred ten thousand, four hundred sixty-eight".