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388413029720080 = 24530403315969197
BaseRepresentation
bin101100001010000100111010…
…0101010011010000000010000
31212221020220220212110202002101
41120110021310222122000100
5401402224341102020310
63454030252121130144
7144545625651410041
oct13024116452320020
91787226825422071
10388413029720080
1110284004a4087a2
1237691069929954
1313896264a75951
146bcb4104d28c8
152ed87aa97943a
hex1614274a9a010

388413029720080 has 40 divisors (see below), whose sum is σ = 903063320920152. Its totient is φ = 155364691144704.

The previous prime is 388413029720063. The next prime is 388413029720167. The reversal of 388413029720080 is 80027920314883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41709225559824 + 346703804160256 = 6458268^2 + 18619984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16338042 + ... + 32307238.

Almost surely, 2388413029720080 is an apocalyptic number.

It is an amenable number.

388413029720080 is an abundant number, since it is smaller than the sum of its proper divisors (514650291200072).

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

388413029720080 is a wasteful number, since it uses less digits than its factorization.

388413029720080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273243 (or 16273237 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 388413029720080 in words is "three hundred eighty-eight trillion, four hundred thirteen billion, twenty-nine million, seven hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 304033 608066 1216132 1520165 2432264 3040330 4864528 6080660 12161320 15969197 24322640 31938394 63876788 79845985 127753576 159691970 255507152 319383940 638767880 1277535760 4855162871501 9710325743002 19420651486004 24275814357505 38841302972008 48551628715010 77682605944016 97103257430020 194206514860040 388413029720080