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20152443324 = 22313232594139
BaseRepresentation
bin10010110001001011…
…011110000110111100
31221000110101012011210
4102301023132012330
5312233011141244
613131412444420
71312252641036
oct226113360674
957013335153
1020152443324
11860158aa42
123aa5019710
131b921509a0
14d92648c56
157ce32e4b9
hex4b12de1bc

20152443324 has 144 divisors (see below), whose sum is σ = 53847158400. Its totient is φ = 5829217152.

The previous prime is 20152443319. The next prime is 20152443397. The reversal of 20152443324 is 42334425102.

It is a super-2 number, since 2×201524433242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20152443291 and 20152443300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4866847 + ... + 4870985.

It is an arithmetic number, because the mean of its divisors is an integer number (373938600).

Almost surely, 220152443324 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 20152443324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923579200).

20152443324 is an abundant number, since it is smaller than the sum of its proper divisors (33694715076).

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

20152443324 is a wasteful number, since it uses less digits than its factorization.

20152443324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20152443324 its reverse (42334425102), we get a palindrome (62486868426).

The spelling of 20152443324 in words is "twenty billion, one hundred fifty-two million, four hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 59 69 78 92 118 138 156 177 236 276 299 354 529 598 708 767 897 1058 1196 1357 1534 1587 1794 2116 2301 2714 3068 3174 3588 4071 4139 4602 5428 6348 6877 8142 8278 9204 12417 13754 16284 16556 17641 20631 24834 27508 31211 35282 41262 49668 52923 53807 62422 70564 82524 93633 95197 105846 107614 124844 161421 187266 190394 211692 215228 244201 285591 322842 374532 380788 405743 488402 571182 645684 732603 811486 976804 1142364 1217229 1237561 1465206 1622972 2189531 2434458 2475122 2930412 3174613 3712683 4379062 4868916 4950244 5616623 6349226 6568593 7425366 8758124 9523839 11233246 12698452 13137186 14850732 16849869 19047678 22466492 26274372 28463903 33699738 38095356 56927806 67399476 73016099 85391709 113855612 129182329 146032198 170783418 219048297 258364658 292064396 341566836 387546987 438096594 516729316 775093974 876193188 1550187948 1679370277 3358740554 5038110831 6717481108 10076221662 20152443324