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5074774431076 = 227412721812
BaseRepresentation
bin100100111011001000000…
…1000001001010101100100
3122222010212202101210110101
41021312100020021111210
51131121114223243301
614443152540033444
71032432432640000
oct111662010112544
918863782353411
105074774431076
11168722195a339
1269b637832884
132aa71a70005c
14137898503700
158c01707d701
hex49d90209564

5074774431076 has 135 divisors (see below), whose sum is σ = 10500614160057. Its totient is φ = 2145856678560.

The previous prime is 5074774431019. The next prime is 5074774431079. The reversal of 5074774431076 is 6701344774705.

The square root of 5074774431076 is 2252726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55919952676 + 5018854478400 = 236474^2 + 2240280^2 .

It is not an unprimeable number, because it can be changed into a prime (5074774431079) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28037427706 + ... + 28037427886.

Almost surely, 25074774431076 is an apocalyptic number.

5074774431076 is the 2252726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5074774431076

5074774431076 is an abundant number, since it is smaller than the sum of its proper divisors (5425839728981).

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

5074774431076 is an frugal number, since it uses more digits than its factorization.

5074774431076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 55.

The spelling of 5074774431076 in words is "five trillion, seventy-four billion, seven hundred seventy-four million, four hundred thirty-one thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 127 181 196 254 343 362 508 686 724 889 1267 1372 1778 2401 2534 3556 4802 5068 6223 8869 9604 12446 16129 17738 22987 24892 32258 32761 35476 43561 45974 62083 64516 65522 87122 91948 112903 124166 131044 160909 174244 225806 229327 248332 304927 321818 434581 451612 458654 609854 643636 790321 869162 917308 1126363 1219708 1580642 1605289 1738324 2252726 2919349 3161284 3210578 4160647 4505452 5532247 5838698 6421156 7884541 8321294 11064494 11237023 11677396 15769082 16642588 20435443 22128988 22474046 29124529 31538164 38725729 40870886 44948092 55191787 58249058 77451458 78659161 81741772 110383574 116498116 143048101 154902916 157318322 203871703 220767148 286096202 314636644 407743406 528402169 572192404 815486812 1001336707 1056804338 1427101921 2002673414 2113608676 2854203842 3698815183 4005346828 5708407684 7009356949 7397630366 9989713447 14018713898 14795260732 19979426894 25891706281 28037427796 39958853788 51783412562 103566825124 181241943967 362483887934 724967775868 1268693607769 2537387215538 5074774431076