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80579907147432 = 233721122051282487
BaseRepresentation
bin10010010100100101111000…
…101111011101011010101000
3101120022100211021110102002110
4102110211320233131122220
541030210122212204212
6443213522011202320
722654464134415300
oct2224457057353250
9346270737412073
1080579907147432
1123747823964160
129054b13a463a0
1335c6863b04644
1415c81344a2600
1594b1057e8a3c
hex494978bdd6a8

80579907147432 has 192 divisors, whose sum is σ = 255655617431040. Its totient is φ = 20928822768000.

The previous prime is 80579907147431. The next prime is 80579907147499. The reversal of 80579907147432 is 23474170997508.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (80579907147431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285110493 + ... + 285392979.

It is an arithmetic number, because the mean of its divisors is an integer number (1331539674120).

Almost surely, 280579907147432 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 80579907147432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127827808715520).

80579907147432 is an abundant number, since it is smaller than the sum of its proper divisors (175075710283608).

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

80579907147432 is a wasteful number, since it uses less digits than its factorization.

80579907147432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304572 (or 304561 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 80579907147432 in words is "eighty trillion, five hundred seventy-nine billion, nine hundred seven million, one hundred forty-seven thousand, four hundred thirty-two".