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145516600160 = 2551561958229
BaseRepresentation
bin1000011110000101110…
…1110001101101100000
3111220121022011012111122
42013201131301231200
54341004222201120
6150503245431412
713341015456461
oct2074135615540
9456538135448
10145516600160
1156793366528
122425126b568
1310950768749
147086166d68
153bba1bea25
hex21e1771b60

145516600160 has 48 divisors (see below), whose sum is σ = 343810882800. Its totient is φ = 58201913856.

The previous prime is 145516600081. The next prime is 145516600193. The reversal of 145516600160 is 61006615541.

It is a super-3 number, since 3×1455166001603 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145516600160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2469926 + ... + 2528154.

It is an arithmetic number, because the mean of its divisors is an integer number (7162726725).

Almost surely, 2145516600160 is an apocalyptic number.

145516600160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145516600160 is an abundant number, since it is smaller than the sum of its proper divisors (198294282640).

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

145516600160 is a wasteful number, since it uses less digits than its factorization.

145516600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73863 (or 73855 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 145516600160 in words is "one hundred forty-five billion, five hundred sixteen million, six hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 15619 31238 58229 62476 78095 116458 124952 156190 232916 249904 291145 312380 465832 499808 582290 624760 931664 1164580 1249520 1863328 2329160 2499040 4658320 9316640 909478751 1818957502 3637915004 4547393755 7275830008 9094787510 14551660016 18189575020 29103320032 36379150040 72758300080 145516600160