Search a number
-
+
145651101596 = 227111359361343
BaseRepresentation
bin1000011110100101111…
…0110110111110011100
3111220221200020120210022
42013221132312332130
54341243140222341
6150524452331312
713344240636110
oct2075136667634
9456850216708
10145651101596
1156852282440
122428a313b38
131097259c0b0
147099d79740
153bc6ddbe4b
hex21e97b6f9c

145651101596 has 96 divisors (see below), whose sum is σ = 342811865088. Its totient is φ = 52292828160.

The previous prime is 145651101581. The next prime is 145651101677. The reversal of 145651101596 is 695101156541.

It is a super-2 number, since 2×1456511015962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2343701 + ... + 2405043.

It is an arithmetic number, because the mean of its divisors is an integer number (3570956928).

Almost surely, 2145651101596 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 145651101596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171405932544).

145651101596 is an abundant number, since it is smaller than the sum of its proper divisors (197160763492).

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

145651101596 is a wasteful number, since it uses less digits than its factorization.

145651101596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61971 (or 61969 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 44.

Subtracting 145651101596 from its reverse (695101156541), we obtain a palindrome (549450054945).

The spelling of 145651101596 in words is "one hundred forty-five billion, six hundred fifty-one million, one hundred one thousand, five hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 593 1001 1186 2002 2372 4004 4151 6523 7709 8302 13046 15418 16604 26092 30836 45661 53963 61343 84799 91322 107926 122686 169598 182644 215852 245372 339196 429401 593593 674773 797459 858802 1187186 1349546 1594918 1717604 2374372 2699092 3189836 4723411 5582213 8772049 9446822 11164426 17544098 18893644 22328852 35088196 36376399 61404343 72752798 122808686 145505596 245617372 254634793 400140389 472893187 509269586 800280778 945786374 1018539172 1600561556 1891572748 2800982723 3310252309 5201825057 5601965446 6620504618 10403650114 11203930892 13241009236 20807300228 36412775399 72825550798 145651101596