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3016426101520 = 2451379149246403
BaseRepresentation
bin101011111001010001000…
…000011001101100010000
3101200100220220212200122111
4223321101000121230100
5343410120040222040
610225421011515104
7430633564546636
oct53712100315420
911610826780574
103016426101520
11a63293994997
1240872abb8a94
1318b5a89660c0
14a5dd26a5356
15536e6856dea
hex2be51019b10

3016426101520 has 160 divisors (see below), whose sum is σ = 7699632192000. Its totient is φ = 1092274440192.

The previous prime is 3016426101509. The next prime is 3016426101529. The reversal of 3016426101520 is 251016246103.

It is a happy number.

It is a super-2 number, since 2×30164261015202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3016426101529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12118639 + ... + 12365041.

It is an arithmetic number, because the mean of its divisors is an integer number (48122701200).

Almost surely, 23016426101520 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 3016426101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849816096000).

3016426101520 is an abundant number, since it is smaller than the sum of its proper divisors (4683206090480).

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

3016426101520 is a wasteful number, since it uses less digits than its factorization.

3016426101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246657 (or 246651 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 3016426101520 in words is "three trillion, sixteen billion, four hundred twenty-six million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 149 158 208 260 298 316 395 520 596 632 745 790 1027 1040 1192 1264 1490 1580 1937 2054 2384 2980 3160 3874 4108 5135 5960 6320 7748 8216 9685 10270 11771 11920 15496 16432 19370 20540 23542 30992 38740 41080 47084 58855 77480 82160 94168 117710 153023 154960 188336 235420 246403 306046 470840 492806 612092 765115 941680 985612 1224184 1232015 1530230 1971224 2448368 2464030 3060460 3203239 3942448 4928060 6120920 6406478 9856120 12241840 12812956 16016195 19465837 19712240 25625912 32032390 36714047 38931674 51251824 64064780 73428094 77863348 97329185 128129560 146856188 155726696 183570235 194658370 253055881 256259120 293712376 311453392 367140470 389316740 477282611 506111762 587424752 734280940 778633480 954565222 1012223524 1265279405 1468561880 1557266960 1909130444 2024447048 2386413055 2530558810 2900409713 2937123760 3818260888 4048894096 4772826110 5061117620 5800819426 7636521776 9545652220 10122235240 11601638852 14502048565 19091304440 20244470480 23203277704 29004097130 37705326269 38182608880 46406555408 58008194260 75410652538 116016388520 150821305076 188526631345 232032777040 301642610152 377053262690 603285220304 754106525380 1508213050760 3016426101520