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53155146264 = 23311536756701
BaseRepresentation
bin110001100000010010…
…110010101000011000
312002012110210012121220
4301200102302220120
51332330204140024
640230311132040
73561143200623
oct614022625030
9162173705556
1053155146264
11205a7770150
12a375674020
13502163568c
1428037a0dba
1515b1882e79
hexc604b2a18

53155146264 has 128 divisors (see below), whose sum is σ = 149911015680. Its totient is φ = 15567552000.

The previous prime is 53155146251. The next prime is 53155146271. The reversal of 53155146264 is 46264155135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909114 + ... + 965814.

It is an arithmetic number, because the mean of its divisors is an integer number (1171179810).

Almost surely, 253155146264 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 53155146264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74955507840).

53155146264 is an abundant number, since it is smaller than the sum of its proper divisors (96755869416).

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

53155146264 is a wasteful number, since it uses less digits than its factorization.

53155146264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56841 (or 56837 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 53155146264 in words is "fifty-three billion, one hundred fifty-five million, one hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 67 88 106 132 134 159 201 212 264 268 318 402 424 536 583 636 737 804 1166 1272 1474 1608 1749 2211 2332 2948 3498 3551 4422 4664 5896 6996 7102 8844 10653 13992 14204 17688 21306 28408 39061 42612 56701 78122 85224 113402 117183 156244 170103 226804 234366 312488 340206 453608 468732 623711 680412 937464 1247422 1360824 1871133 2494844 3005153 3742266 3798967 4989688 6010306 7484532 7597934 9015459 11396901 12020612 14969064 15195868 18030918 22793802 24041224 30391736 33056683 36061836 41788637 45587604 66113366 72123672 83577274 91175208 99170049 125365911 132226732 167154548 198340098 201345251 250731822 264453464 334309096 396680196 402690502 501463644 604035753 793360392 805381004 1002927288 1208071506 1610762008 2214797761 2416143012 4429595522 4832286024 6644393283 8859191044 13288786566 17718382088 26577573132 53155146264