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202530132553504 = 25721912803241261
BaseRepresentation
bin101110000011001100111000…
…100110110110111100100000
3222120002200200011101221101011
4232003030320212312330200
5203021223202413203004
61554425020342550304
760442214326215400
oct5603147046667440
9876080604357334
10202530132553504
1159594601971008
121a86b843738394
138901681636c22
1438027215a8800
15186341825e004
hexb833389b6f20

202530132553504 has 144 divisors (see below), whose sum is σ = 466426875833856. Its totient is φ = 86313023193600.

The previous prime is 202530132553457. The next prime is 202530132553591. The reversal of 202530132553504 is 405355231035202.

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 23 ways as a sum of consecutive naturals, for example, 839344234 + ... + 839585494.

It is an arithmetic number, because the mean of its divisors is an integer number (3239075526624).

Almost surely, 2202530132553504 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 202530132553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233213437916928).

202530132553504 is an abundant number, since it is smaller than the sum of its proper divisors (263896743280352).

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

202530132553504 is a wasteful number, since it uses less digits than its factorization.

202530132553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244279 (or 244264 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 202530132553504 its reverse (405355231035202), we get a palindrome (607885363588706).

The spelling of 202530132553504 in words is "two hundred two trillion, five hundred thirty billion, one hundred thirty-two million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 191 196 224 382 392 764 784 1337 1528 1568 2674 2803 3056 5348 5606 6112 9359 10696 11212 18718 19621 21392 22424 37436 39242 42784 44848 74872 78484 89696 137347 149744 156968 241261 274694 299488 313936 482522 535373 549388 627872 965044 1070746 1098776 1688827 1930088 2141492 2197552 3377654 3747611 3860176 4282984 4395104 6755308 7495222 7720352 8565968 11821789 13510616 14990444 17131936 23643578 26233277 27021232 29980888 46080851 47287156 52466554 54042464 59961776 92161702 94574312 104933108 119923552 184323404 189148624 209866216 322565957 368646808 378297248 419732432 645131914 676254583 737293616 839464864 1290263828 1352509166 1474587232 2257961699 2580527656 2705018332 4515923398 4733782081 5161055312 5410036664 9031846796 9467564162 10322110624 10820073328 18063693592 18935128324 21640146656 33136474567 36127387184 37870256648 66272949134 72254774368 75740513296 129164625353 132545898268 151481026592 258329250706 265091796536 516658501412 530183593072 904152377471 1033317002824 1060367186144 1808304754942 2066634005648 3616609509884 4133268011296 6329066642297 7233219019768 12658133284594 14466438039536 25316266569188 28932876079072 50632533138376 101265066276752 202530132553504