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153543022136 = 23725964110357
BaseRepresentation
bin1000111011111111100…
…0001001011000111000
3112200022200021200112122
42032333320021120320
510003424003202021
6154311531500412
714043640103600
oct2167770113070
9480280250478
10153543022136
115a132040119
12259112b7708
131162c60006a
14760814bc00
153ed9b88bab
hex23bfe09638

153543022136 has 96 divisors (see below), whose sum is σ = 341136586800. Its totient is φ = 64581672960.

The previous prime is 153543022081. The next prime is 153543022141. The reversal of 153543022136 is 631220345351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153543022096 and 153543022105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14819870 + ... + 14830226.

Almost surely, 2153543022136 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 153543022136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170568293400).

153543022136 is an abundant number, since it is smaller than the sum of its proper divisors (187593564664).

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

153543022136 is a wasteful number, since it uses less digits than its factorization.

153543022136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 153543022136 its reverse (631220345351), we get a palindrome (784763367487).

The spelling of 153543022136 in words is "one hundred fifty-three billion, five hundred forty-three million, twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 641 826 1282 1652 2564 2891 3304 4487 5128 5782 8974 10357 11564 17948 20714 23128 31409 35896 37819 41428 62818 72499 75638 82856 125636 144998 151276 251272 264733 289996 302552 507493 529466 579992 611063 1014986 1058932 1222126 1853131 2029972 2117864 2444252 3706262 4059944 4277441 4888504 6638837 7412524 8554882 13277674 14825048 17109764 26555348 29942087 34219528 46471859 53110696 59884174 92943718 119768348 185887436 239536696 325303013 371774872 391691383 650606026 783382766 1301212052 1566765532 2602424104 2741839681 3133531064 5483679362 10967358724 19192877767 21934717448 38385755534 76771511068 153543022136