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503364617472 = 2834115985919
BaseRepresentation
bin1110101001100101101…
…11101000010100000000
31210010021100022222201110
413110302313220110000
531221342320224342
61023124214403320
751236562436623
oct7246267502400
91703240288643
10503364617472
111845262273a2
128167b960540
133860c2359a2
141a51201ddba
15d1611ebc9c
hex7532de8500

503364617472 has 72 divisors (see below), whose sum is σ = 1372359260160. Its totient is φ = 163695800320.

The previous prime is 503364617471. The next prime is 503364617479. The reversal of 503364617472 is 274716463305.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503364617471) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7961472 + ... + 8024447.

It is an arithmetic number, because the mean of its divisors is an integer number (19060545280).

Almost surely, 2503364617472 is an apocalyptic number.

It is an amenable number.

503364617472 is an abundant number, since it is smaller than the sum of its proper divisors (868994642688).

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

503364617472 is a wasteful number, since it uses less digits than its factorization.

503364617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15985979 (or 15985965 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 503364617472 in words is "five hundred three billion, three hundred sixty-four million, six hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 15985919 31971838 47957757 63943676 95915514 127887352 191831028 255774704 383662056 511549408 655422679 767324112 1023098816 1310845358 1534648224 1966268037 2046197632 2621690716 3069296448 3932536074 4092395264 5243381432 6138592896 7865072148 10486762864 12277185792 15730144296 20973525728 31460288592 41947051456 62920577184 83894102912 125841154368 167788205824 251682308736 503364617472