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145216403262 = 2347743172351
BaseRepresentation
bin1000011100111110010…
…0100111011100111110
3111212211101021121210000
42013033210213130332
54334400344401022
6150413403255130
713330412030040
oct2071744473476
9455741247700
10145216403262
1156649968117
122418881a4a6
13109034cc148
147058341a90
153b9db726ac
hex21cf92773e

145216403262 has 80 divisors (see below), whose sum is σ = 372379594752. Its totient is φ = 41434318800.

The previous prime is 145216403257. The next prime is 145216403263. The reversal of 145216403262 is 262304612541.

145216403262 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 640 + 3 + 2 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145216403263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 756387 + ... + 928737.

Almost surely, 2145216403262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145216403262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186189797376).

145216403262 is an abundant number, since it is smaller than the sum of its proper divisors (227163191490).

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

145216403262 is a wasteful number, since it uses less digits than its factorization.

145216403262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173115 (or 173106 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 145216403262 in words is "one hundred forty-five billion, two hundred sixteen million, four hundred three thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 743 1134 1486 2229 4458 5201 6687 10402 13374 15603 20061 31206 40122 46809 60183 93618 120366 140427 172351 280854 344702 421281 517053 842562 1034106 1206457 1551159 2412914 3102318 3619371 4653477 7238742 9306954 10858113 13960431 21716226 27920862 32574339 65148678 97723017 128056793 195446034 256113586 384170379 768340758 896397551 1152511137 1792795102 2305022274 2689192653 3457533411 5378385306 6915066822 8067577959 10372600233 16135155918 20745200466 24202733877 48405467754 72608201631 145216403262