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64150722705146 = 27211273914814943
BaseRepresentation
bin11101001011000010000010…
…00010011111011011111010
322102010202020011102221212012
432211201001002133123322
531402021140003031041
6344234233555045522
716340510466001100
oct1645410102373372
9272122204387765
1064150722705146
1119493194619a00
127240a0b2a08a2
1329a450588524c
1411baca93d1c70
15763a92ce73eb
hex3a584109f6fa

64150722705146 has 144 divisors (see below), whose sum is σ = 123312225778560. Its totient is φ = 24938067369600.

The previous prime is 64150722705103. The next prime is 64150722705187.

It is a happy number.

64150722705146 is nontrivially palindromic in base 10.

64150722705146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64150722705094 and 64150722705103.

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 71 ways as a sum of consecutive naturals, for example, 12978092351 + ... + 12978097293.

It is an arithmetic number, because the mean of its divisors is an integer number (856334901240).

Almost surely, 264150722705146 is an apocalyptic number.

64150722705146 is a deficient number, since it is larger than the sum of its proper divisors (59161503073414).

64150722705146 is a wasteful number, since it uses less digits than its factorization.

64150722705146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 64150722705146 in words is "sixty-four trillion, one hundred fifty billion, seven hundred twenty-two million, seven hundred five thousand, one hundred forty-six".

Divisors: 1 2 7 11 14 22 49 77 98 121 154 242 539 739 847 1078 1478 1481 1694 2962 4943 5173 5929 8129 9886 10346 10367 11858 16258 16291 20734 32582 34601 36211 54373 56903 69202 72422 72569 89419 108746 113806 114037 145138 178838 179201 228074 242207 358402 380611 398321 484414 598103 625933 761222 796642 798259 1094459 1196206 1251866 1254407 1596518 2188918 2508814 2664277 3652877 4186721 4381531 5328554 7305754 7320583 7661213 8373442 8763062 8780849 12039049 14641166 15322426 17561698 24078098 25570139 29307047 40181647 51140278 51244081 53628491 58614094 80363294 80526413 84273343 102488162 107256982 132429539 161052826 168546686 178990973 264859078 281271529 357981946 358708567 441998117 562543058 563684891 589913401 717417134 883996234 885790543 927006773 1127369782 1179826802 1771581086 1854013546 1968900703 3093986819 3937801406 3945794237 5409910837 6187973638 6200533801 6489047411 7891588474 10819821674 12401067602 12978094822 21657907733 37869375859 43315815466 43403736607 59509019207 75738751718 86807473214 119018038414 265085631013 416563134449 530171262026 654599211277 833126268898 1309198422554 2915941941143 4582194478939 5831883882286 9164388957878 32075361352573 64150722705146