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53022021156 = 2232138310712757
BaseRepresentation
bin110001011000010110…
…111101011000100100
312001212012021202022100
4301120112331120210
51332042114134111
640205153532100
73554635513026
oct613026753044
9161765252270
1053022021156
11205396042a5
12a338b74030
134cccb94620
1427cdc2a016
1515a4d38756
hexc585bd624

53022021156 has 144 divisors (see below), whose sum is σ = 147453493824. Its totient is φ = 15966021888.

The previous prime is 53022021139. The next prime is 53022021209. The reversal of 53022021156 is 65112022035.

It is a happy number.

53022021156 is a `hidden beast` number, since 5 + 302 + 202 + 1 + 156 = 666.

It is a super-2 number, since 2×530220211562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4149930 + ... + 4162686.

It is an arithmetic number, because the mean of its divisors is an integer number (1023982596).

Almost surely, 253022021156 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 53022021156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73726746912).

53022021156 is an abundant number, since it is smaller than the sum of its proper divisors (94431472668).

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

53022021156 is a wasteful number, since it uses less digits than its factorization.

53022021156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 53022021156 in words is "fifty-three billion, twenty-two million, twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 107 117 156 166 214 234 249 321 332 428 468 498 642 747 963 996 1079 1284 1391 1494 1926 2158 2782 2988 3237 3852 4173 4316 5564 6474 8346 8881 9711 12519 12757 12948 16692 17762 19422 25038 25514 26643 35524 38271 38844 50076 51028 53286 76542 79929 106572 114813 115453 153084 159858 165841 229626 230906 319716 331682 346359 459252 461812 497523 663364 692718 995046 1039077 1058831 1364999 1385436 1492569 1990092 2078154 2117662 2729998 2985138 3176493 4094997 4156308 4235324 5459996 5970276 6352986 8189994 9529479 12284991 12705972 13764803 16379988 17744987 19058958 24569982 27529606 35489974 38117916 41294409 49139964 53234961 55059212 70979948 82588818 106469922 113294917 123883227 159704883 165177636 212939844 226589834 247766454 319409766 339884751 453179668 495532908 638819532 679769502 1019654253 1359539004 1472833921 2039308506 2945667842 4078617012 4418501763 5891335684 8837003526 13255505289 17674007052 26511010578 53022021156