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146949175119216 = 24328169115766727
BaseRepresentation
bin100001011010011001000101…
…011000100000110101110000
3201021022012111200020001122110
4201122121011120200311300
5123230103402312303331
61240311304043005320
742644504356142301
oct4132310530406560
9637265450201573
10146949175119216
1142905882441388
1214593899509840
1363cc32b414572
14284054142c7a8
1511ec742c06946
hex85a645620d70

146949175119216 has 80 divisors (see below), whose sum is σ = 381521013735168. Its totient is φ = 48738103411200.

The previous prime is 146949175119193. The next prime is 146949175119337. The reversal of 146949175119216 is 612911571949641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436845 + ... + 17203571.

Almost surely, 2146949175119216 is an apocalyptic number.

146949175119216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146949175119216 is an abundant number, since it is smaller than the sum of its proper divisors (234571838615952).

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

146949175119216 is a wasteful number, since it uses less digits than its factorization.

146949175119216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15767710 (or 15767704 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 66.

The spelling of 146949175119216 in words is "one hundred forty-six trillion, nine hundred forty-nine billion, one hundred seventy-five million, one hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 691 843 1124 1382 1686 2073 2248 2764 3372 4146 4496 5528 6744 8292 11056 13488 16584 33168 194171 388342 582513 776684 1165026 1553368 2330052 3106736 4660104 9320208 15766727 31533454 47300181 63066908 94600362 126133816 189200724 252267632 378401448 756802896 4430450287 8860900574 10894808357 13291350861 17721801148 21789616714 26582701722 32684425071 35443602296 43579233428 53165403444 65368850142 70887204592 87158466856 106330806888 130737700284 174316933712 212661613776 261475400568 522950801136 3061441148317 6122882296634 9184323444951 12245764593268 18368646889902 24491529186536 36737293779804 48983058373072 73474587559608 146949175119216