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252042561474 = 2311234312793019
BaseRepresentation
bin1110101010111011101…
…0000100011111000010
3220002120021112201201020
43222232322010133002
513112140343431344
6311441534450310
724131564265324
oct3525672043702
9802507481636
10252042561474
1197988500990
1240a20663996
131a9c92b8952
14c2adbc9614
1568522d7719
hex3aaee847c2

252042561474 has 128 divisors (see below), whose sum is σ = 587818598400. Its totient is φ = 71277433920.

The previous prime is 252042561469. The next prime is 252042561481. The reversal of 252042561474 is 474165240252.

It is a super-3 number, since 3×2520425614743 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83483937 + ... + 83486955.

It is an arithmetic number, because the mean of its divisors is an integer number (4592332800).

Almost surely, 2252042561474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252042561474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293909299200).

252042561474 is an abundant number, since it is smaller than the sum of its proper divisors (335776036926).

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

252042561474 is a wasteful number, since it uses less digits than its factorization.

252042561474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380.

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 252042561474 in words is "two hundred fifty-two billion, forty-two million, five hundred sixty-one thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 43 46 66 69 86 129 138 253 258 473 506 759 946 989 1279 1419 1518 1978 2558 2838 2967 3019 3837 5934 6038 7674 9057 10879 14069 18114 21758 28138 29417 32637 33209 42207 54997 58834 65274 66418 69437 84414 88251 99627 109994 129817 138874 164991 176502 199254 208311 259634 323587 329982 389451 416622 604967 647174 763807 778902 970761 1209934 1264931 1427987 1527614 1814901 1941522 2291421 2529862 2855974 2985791 3629802 3794793 3861301 4283961 4582842 5971582 7589586 7722602 8567922 8957373 11583903 13914241 17914746 23167806 27828482 32843701 41742723 42474311 65687402 83485446 84948622 88809923 98531103 127422933 166035943 177619846 197062206 254845866 266429769 332071886 498107829 532859538 976909153 996215658 1826395373 1953818306 2930727459 3652790746 3818826689 5479186119 5861454918 7637653378 10958372238 11456480067 22912960134 42007093579 84014187158 126021280737 252042561474