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63274103004 = 22373724778219
BaseRepresentation
bin111010111011011011…
…100011000011011100
320001022200101110201110
4322323123203003130
52014041132244004
645022343342020
74366664000340
oct727333430334
9201280343643
1063274103004
112491a644112
121031a451910
135c74b72c48
1430c364b620
1519a4ddc589
hexebb6e30dc

63274103004 has 96 divisors (see below), whose sum is σ = 173382289920. Its totient is φ = 17580471552.

The previous prime is 63274102987. The next prime is 63274103023. The reversal of 63274103004 is 40030147236.

It is a super-2 number, since 2×632741030042 (a number of 22 digits) contains 22 as substring.

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, 7694407 + ... + 7702625.

It is an arithmetic number, because the mean of its divisors is an integer number (1806065520).

Almost surely, 263274103004 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 63274103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86691144960).

63274103004 is an abundant number, since it is smaller than the sum of its proper divisors (110108186916).

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

63274103004 is a wasteful number, since it uses less digits than its factorization.

63274103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 63274103004 in words is "sixty-three billion, two hundred seventy-four million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 2477 3108 4954 7431 8219 9908 14862 16438 17339 24657 29724 32876 34678 49314 52017 57533 69356 91649 98628 104034 115066 172599 183298 208068 230132 274947 304103 345198 366596 549894 608206 641543 690396 912309 1099788 1216412 1283086 1824618 1924629 2128721 2566172 3649236 3849258 4257442 6386163 7698516 8514884 12772326 20358463 25544652 40716926 61075389 81433852 122150778 142509241 244301556 285018482 427527723 570036964 753263131 855055446 1506526262 1710110892 2259789393 3013052524 4519578786 5272841917 9039157572 10545683834 15818525751 21091367668 31637051502 63274103004