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28251378506364 = 223132173132618053
BaseRepresentation
bin1100110110001110010010…
…11000010101101001111100
310201000210202010212010212120
412123013021120111221330
512200332310344200424
6140030300520002540
75644044332053656
oct633071130255174
9121023663763776
1028251378506364
119002384722782
123203381600450
13129c12a72b300
146d95344276d6
1533ed3ab61a79
hex19b1c9615a7c

28251378506364 has 144 divisors (see below), whose sum is σ = 75821063949792. Its totient is φ = 8155252924416.

The previous prime is 28251378506359. The next prime is 28251378506411. The reversal of 28251378506364 is 46360587315282.

It is a junction number, because it is equal to n+sod(n) for n = 28251378506298 and 28251378506307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9481962 + ... + 12100014.

It is an arithmetic number, because the mean of its divisors is an integer number (526535166318).

Almost surely, 228251378506364 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 28251378506364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37910531974896).

28251378506364 is an abundant number, since it is smaller than the sum of its proper divisors (47569685443428).

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

28251378506364 is a wasteful number, since it uses less digits than its factorization.

28251378506364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618416 (or 2618401 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 28251378506364 in words is "twenty-eight trillion, two hundred fifty-one billion, three hundred seventy-eight million, five hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 313 338 442 507 626 663 676 884 939 1014 1252 1326 1878 2028 2652 2873 3756 4069 5321 5746 8138 8619 10642 11492 12207 15963 16276 17238 21284 24414 31926 34476 48828 52897 63852 69173 105794 138346 158691 207519 211588 276692 317382 415038 634764 830076 899249 1798498 2618053 2697747 3596996 5236106 5395494 7854159 10472212 10790988 15708318 31416636 34034689 44506901 68069378 89013802 102104067 133520703 136138756 178027604 204208134 267041406 408416268 442450957 534082812 578589713 819450589 884901914 1157179426 1327352871 1638901178 1735769139 1769803828 2314358852 2458351767 2654705742 3277802356 3471538278 4916703534 5309411484 6943076556 7521666269 9833407068 10652857657 13930660013 15043332538 21305715314 22564998807 27861320026 30086665076 31958572971 41791980039 42611430628 45129997614 55722640052 63917145942 83583960078 90259995228 127834291884 138487149541 167167920156 181098580169 276974299082 362197160338 415461448623 543295740507 553948598164 724394320676 830922897246 1086591481014 1661845794492 2173182962028 2354281542197 4708563084394 7062844626591 9417126168788 14125689253182 28251378506364