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10989225848064 = 283103773179717
BaseRepresentation
bin1001111111101010000011…
…1001110010110100000000
31102220120010001012001101010
42133322200321302310000
52420021413304114224
635212214120040520
72212642155331542
oct237724071626400
942816101161333
1010989225848064
113557560559112
121295951603140
13619383233c19
1429dc4a695692
15140cc587ce29
hex9fea0e72d00

10989225848064 has 144 divisors (see below), whose sum is σ = 29569689781632. Its totient is φ = 3622798516224.

The previous prime is 10989225848023. The next prime is 10989225848129. The reversal of 10989225848064 is 46084852298901.

It is a junction number, because it is equal to n+sod(n) for n = 10989225847986 and 10989225848004.

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, 61057534 + ... + 61237250.

It is an arithmetic number, because the mean of its divisors is an integer number (205345067928).

Almost surely, 210989225848064 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 10989225848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784844890816).

10989225848064 is an abundant number, since it is smaller than the sum of its proper divisors (18580463933568).

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

10989225848064 is a wasteful number, since it uses less digits than its factorization.

10989225848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180612 (or 180598 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 10989225848064 in words is "ten trillion, nine hundred eighty-nine billion, two hundred twenty-five million, eight hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 773 824 1236 1546 1648 2319 2472 3092 3296 4638 4944 6184 6592 9276 9888 12368 13184 18552 19776 24736 26368 37104 39552 49472 74208 79104 79619 98944 148416 159238 179717 197888 238857 296832 318476 359434 477714 539151 593664 636952 718868 955428 1078302 1273904 1437736 1910856 2156604 2547808 2875472 3821712 4313208 5095616 5750944 7643424 8626416 10191232 11501888 15286848 17252832 18510851 20382464 23003776 30573696 34505664 37021702 46007552 55532553 61147392 69011328 74043404 111065106 138022656 138921241 148086808 222130212 277842482 296173616 416763723 444260424 555684964 592347232 833527446 888520848 1111369928 1184694464 1667054892 1777041696 2222739856 2369388928 3334109784 3554083392 4445479712 4738777856 6668219568 7108166784 8890959424 13336439136 14216333568 14308887823 17781918848 26672878272 28617775646 35563837696 42926663469 53345756544 57235551292 85853326938 106691513088 114471102584 171706653876 228942205168 343413307752 457884410336 686826615504 915768820672 1373653231008 1831537641344 2747306462016 3663075282688 5494612924032 10989225848064