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52261131120 = 24351147421189
BaseRepresentation
bin110000101011000000…
…011001001101110000
311222220011112112101220
4300223000121031300
51324012322143440
640001453225040
73530036166522
oct605300311560
9158804475356
1052261131120
1120189056360
12a166192180
134c0b356133
14275ab61a12
15155d1398d0
hexc2b019370

52261131120 has 160 divisors (see below), whose sum is σ = 180498447360. Its totient is φ = 12399774720.

The previous prime is 52261131103. The next prime is 52261131133. The reversal of 52261131120 is 2113116225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86515 + ... + 334674.

It is an arithmetic number, because the mean of its divisors is an integer number (1128115296).

Almost surely, 252261131120 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 52261131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90249223680).

52261131120 is an abundant number, since it is smaller than the sum of its proper divisors (128237316240).

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

52261131120 is a wasteful number, since it uses less digits than its factorization.

52261131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421263 (or 421257 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 52261131120 its reverse (2113116225), we get a palindrome (54374247345).

It can be divided in two parts, 52261 and 131120, that added together give a palindrome (183381).

The spelling of 52261131120 in words is "fifty-two billion, two hundred sixty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080 421189 842378 1263567 1684756 2105945 2527134 3369512 4211890 4633079 5054268 6317835 6739024 8423780 9266158 10108536 12635670 13899237 16847560 18532316 19795883 20217072 23165395 25271340 27798474 33695120 37064632 39591766 46330790 50542680 55596948 59387649 69496185 74129264 79183532 92661580 98979415 101085360 111193896 118775298 138992370 158367064 185323160 197958830 217754713 222387792 237550596 277984740 296938245 316734128 370646320 395917660 435509426 475101192 555969480 593876490 653264139 791835320 871018852 950202384 1088773565 1111938960 1187752980 1306528278 1583670640 1742037704 2177547130 2375505960 2613056556 3266320695 3484075408 4355094260 4751011920 5226113112 6532641390 8710188520 10452226224 13065282780 17420377040 26130565560 52261131120