Search a number
-
+
13036701420 = 22325195097489
BaseRepresentation
bin11000010010000110…
…00100011011101100
31020122112212001100100
430021003010123230
5203144343421140
65553341431100
7641030063601
oct141103043354
936575761310
1013036701420
11558a972806
122639b6b490
1312c9b82012
148b95a06a8
155147a1530
hex3090c46ec

13036701420 has 144 divisors (see below), whose sum is σ = 41713308000. Its totient is φ = 3286573056.

The previous prime is 13036701409. The next prime is 13036701463. The reversal of 13036701420 is 2410763031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737036 + ... + 1744524.

It is an arithmetic number, because the mean of its divisors is an integer number (289675750).

Almost surely, 213036701420 is an apocalyptic number.

13036701420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13036701420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856654000).

13036701420 is an abundant number, since it is smaller than the sum of its proper divisors (28676606580).

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

13036701420 is a wasteful number, since it uses less digits than its factorization.

13036701420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13036701420 in words is "thirteen billion, thirty-six million, seven hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 509 570 684 855 1018 1140 1527 1710 2036 2545 3054 3420 4581 5090 6108 7489 7635 9162 9671 10180 14978 15270 18324 19342 22467 22905 29013 29956 30540 37445 38684 44934 45810 48355 58026 67401 74890 87039 89868 91620 96710 112335 116052 134802 142291 145065 149780 174078 193420 224670 269604 284582 290130 337005 348156 426873 435195 449340 569164 580260 674010 711455 853746 870390 1280619 1348020 1422910 1707492 1740780 2134365 2561238 2845820 3811901 4268730 5122476 6403095 7623802 8537460 11435703 12806190 15247604 19059505 22871406 25612380 34307109 38119010 45742812 57178515 68614218 72426119 76238020 114357030 137228436 144852238 171535545 217278357 228714060 289704476 343071090 362130595 434556714 651835071 686142180 724261190 869113428 1086391785 1303670142 1448522380 2172783570 2607340284 3259175355 4345567140 6518350710 13036701420