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1229378116464 = 243317483134651
BaseRepresentation
bin10001111000111100101…
…001010101101101110000
311100112020110211001112000
4101320330221111231300
5130120231244211324
62340433555334000
7154551064400241
oct21707451255560
94315213731460
101229378116464
11434415995893
1217a3182b1300
138bc11b91684
1443706130cc8
1521ea3e229c9
hex11e3ca55b70

1229378116464 has 160 divisors (see below), whose sum is σ = 3737226516480. Its totient is φ = 385596288000.

The previous prime is 1229378116453. The next prime is 1229378116471. The reversal of 1229378116464 is 4646118739221.

1229378116464 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 7 + 81 + 16 + 464 = 666.

It is a super-2 number, since 2×12293781164642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1229378116464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35461539 + ... + 35496189.

It is an arithmetic number, because the mean of its divisors is an integer number (23357665728).

Almost surely, 21229378116464 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 1229378116464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868613258240).

1229378116464 is an abundant number, since it is smaller than the sum of its proper divisors (2507848400016).

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

1229378116464 is a wasteful number, since it uses less digits than its factorization.

1229378116464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39516 (or 39504 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1229378116464 in words is "one trillion, two hundred twenty-nine billion, three hundred seventy-eight million, one hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 4831 7344 9662 14493 19324 28986 34651 38648 43479 57972 69302 77296 82127 86958 103953 115944 130437 138604 164254 173916 207906 231888 246381 260874 277208 311859 328508 347832 415812 492762 521748 554416 589067 623718 657016 695664 739143 831624 935577 985524 1043496 1178134 1247436 1314032 1478286 1663248 1767201 1871154 1971048 2086992 2217429 2356268 2494872 2956572 3534402 3742308 3942096 4434858 4712536 4989744 5301603 5913144 7068804 7484616 8869716 9425072 10603206 11826288 14137608 14969232 15904809 17739432 21206412 28275216 31809618 35478864 42412824 63619236 84825648 127238472 167398981 254476944 334797962 502196943 669595924 1004393886 1339191848 1506590829 2008787772 2678383696 2845782677 3013181658 4017575544 4519772487 5691565354 6026363316 8035151088 8537348031 9039544974 11383130708 12052726632 17074696062 18079089948 22766261416 24105453264 25612044093 34149392124 36158179896 45532522832 51224088186 68298784248 72316359792 76836132279 102448176372 136597568496 153672264558 204896352744 307344529116 409792705488 614689058232 1229378116464