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552232202540440 = 235719411270316267
BaseRepresentation
bin111110110010000001001010…
…0010001000001010110011000
32200102021212211200121222212211
41331210002110101001112120
51034340233022322243230
65234255545510244504
7224214313532206462
oct17544022421012630
92612255750558784
10552232202540440
1114aa5a3a8741124
1251b2a373356734
131a91a372443046
149a5227737d132
1543c9c60b5842a
hex1f64094441598

552232202540440 has 128 divisors (see below), whose sum is σ = 1261538640875520. Its totient is φ = 217519778649600.

The previous prime is 552232202540429. The next prime is 552232202540483. The reversal of 552232202540440 is 44045202232255.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 552232202540393 and 552232202540402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33947997187 + ... + 33948013453.

It is an arithmetic number, because the mean of its divisors is an integer number (9855770631840).

Almost surely, 2552232202540440 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 552232202540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630769320437760).

552232202540440 is an abundant number, since it is smaller than the sum of its proper divisors (709306438335080).

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

552232202540440 is a wasteful number, since it uses less digits than its factorization.

552232202540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29993 (or 29989 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 552232202540440 its reverse (44045202232255), we get a palindrome (596277404772695).

The spelling of 552232202540440 in words is "five hundred fifty-two trillion, two hundred thirty-two billion, two hundred two million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 941 1420 1882 2840 3764 4705 7528 9410 12703 16267 18820 25406 32534 37640 50812 63515 65068 66811 81335 101624 127030 130136 133622 162670 254060 267244 325340 334055 508120 534488 650680 668110 901913 1154957 1336220 1803826 2309914 2672440 3607652 4509565 4619828 5774785 7215304 9019130 9239656 11549570 11953523 15307247 18038260 23099140 23907046 30614494 36076520 46198280 47814092 59767615 61228988 76536235 95628184 119535230 122457976 153072470 206639701 239070460 306144940 413279402 478140920 612289880 826558804 848700133 1033198505 1086814537 1653117608 1697400266 2066397010 2173629074 3394800532 4132794020 4243500665 4347258148 5434072685 6789601064 8265588040 8487001330 8694516296 10868145370 14671418771 16974002660 21736290740 29342837542 33948005320 43472581480 58685675084 73357093855 117371350168 146714187710 194447958641 293428375420 388895917282 586856750840 777791834564 972239793205 1555583669128 1944479586410 3888959172820 7777918345640 13805805063511 27611610127022 55223220254044 69029025317555 110446440508088 138058050635110 276116101270220 552232202540440