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145390452592 = 24711619190649
BaseRepresentation
bin1000011101100111110…
…0100011111101110000
3111220021111210020120111
42013121330203331300
54340224423440332
6150442541551104
713334624312350
oct2073174437560
9456244706514
10145390452592
1156729135a40
1224216b75494
131093059b608
1470734cab60
153bae0a2947
hex21d9f23f70

145390452592 has 80 divisors (see below), whose sum is σ = 351772128000. Its totient is φ = 56553822720.

The previous prime is 145390452583. The next prime is 145390452593. The reversal of 145390452592 is 295254093541.

It is a super-2 number, since 2×1453904525922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145390452593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667284 + ... + 857932.

It is an arithmetic number, because the mean of its divisors is an integer number (4397151600).

Almost surely, 2145390452592 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 145390452592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175886064000).

145390452592 is an abundant number, since it is smaller than the sum of its proper divisors (206381675408).

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

145390452592 is a wasteful number, since it uses less digits than its factorization.

145390452592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191294 (or 191288 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 145390452592 in words is "one hundred forty-five billion, three hundred ninety million, four hundred fifty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 619 1232 1238 2476 4333 4952 6809 8666 9904 13618 17332 27236 34664 47663 54472 69328 95326 108944 190649 190652 381298 381304 762596 762608 1334543 1525192 2097139 2669086 3050384 4194278 5338172 8388556 10676344 14679973 16777112 21352688 29359946 33554224 58719892 117439784 118011731 234879568 236023462 472046924 826082117 944093848 1298129041 1652164234 1888187696 2596258082 3304328468 5192516164 6608656936 9086903287 10385032328 13217313872 18173806574 20770064656 36347613148 72695226296 145390452592