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12947513004 = 223217235871567
BaseRepresentation
bin11000000111011101…
…10101111010101100
31020102100000210211200
430003232311322230
5203004030404004
65540434045500
7635565021216
oct140356657254
936370023750
1012947513004
115544596178
122614119890
1312b45555ca
148ab7c55b6
1550ba35239
hex303bb5eac

12947513004 has 144 divisors (see below), whose sum is σ = 36245035008. Its totient is φ = 3876263424.

The previous prime is 12947512973. The next prime is 12947513023. The reversal of 12947513004 is 40031574921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12947513004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8261829 + ... + 8263395.

It is an arithmetic number, because the mean of its divisors is an integer number (251701632).

Almost surely, 212947513004 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 12947513004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122517504).

12947513004 is an abundant number, since it is smaller than the sum of its proper divisors (23297522004).

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

12947513004 is a wasteful number, since it uses less digits than its factorization.

12947513004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12947513004 in words is "twelve billion, nine hundred forty-seven million, five hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 587 612 782 828 1173 1174 1564 1567 1761 2346 2348 3134 3519 3522 4692 4701 5283 6268 7038 7044 9402 9979 10566 13501 14076 14103 18804 19958 21132 26639 27002 28206 29937 36041 39916 40503 53278 54004 56412 59874 72082 79917 81006 89811 106556 108123 119748 121509 144164 159834 162012 179622 216246 229517 239751 243018 319668 324369 359244 432492 459034 479502 486036 612697 648738 688551 918068 919829 959004 1225394 1297476 1377102 1838091 1839658 2065653 2450788 2754204 2759487 3676182 3679316 4131306 5514273 5518974 7352364 8262612 8278461 11028546 11037948 15637093 16556922 21156067 22057092 31274186 33113844 42312134 46911279 62548372 63468201 84624268 93822558 126936402 140733837 187645116 190404603 253872804 281467674 359653139 380809206 562935348 719306278 761618412 1078959417 1438612556 2157918834 3236878251 4315837668 6473756502 12947513004