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16133442104640 = 263572400809837
BaseRepresentation
bin1110101011000101110000…
…0101011110110101000000
32010010100020022122002020110
43222301130011132311000
54103312242134322030
654151333451311320
73253413510132360
oct352613405366500
963110208562213
1016133442104640
115160177519783
12198692914b540
139004b9538443
143dac115d49a0
151cea040121b0
hexeac5c15ed40

16133442104640 has 112 divisors (see below), whose sum is σ = 58541347089792. Its totient is φ = 3687643908096.

The previous prime is 16133442104609. The next prime is 16133442104687. The reversal of 16133442104640 is 4640124433161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×161334421046404 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200398199 + ... + 1200411638.

It is an arithmetic number, because the mean of its divisors is an integer number (522690599016).

Almost surely, 216133442104640 is an apocalyptic number.

16133442104640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16133442104640 is an abundant number, since it is smaller than the sum of its proper divisors (42407904985152).

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

16133442104640 is a wasteful number, since it uses less digits than its factorization.

16133442104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400809864 (or 2400809854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 16133442104640 in words is "sixteen trillion, one hundred thirty-three billion, four hundred forty-two million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 2400809837 4801619674 7202429511 9603239348 12004049185 14404859022 16805668859 19206478696 24008098370 28809718044 33611337718 36012147555 38412957392 48016196740 50417006577 57619436088 67222675436 72024295110 76825914784 84028344295 96032393480 100834013154 115238872176 134445350872 144048590220 153651829568 168056688590 192064786960 201668026308 230477744352 252085032885 268890701744 288097180440 336113377180 384129573920 403336052616 460955488704 504170065770 537781403488 576194360880 672226754360 768259147840 806672105232 1008340131540 1075562806976 1152388721760 1344453508720 1613344210464 2016680263080 2304777443520 2688907017440 3226688420928 4033360526160 5377814034880 8066721052320 16133442104640