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1092790673664 = 28337353108943
BaseRepresentation
bin11111110011011110110…
…01100110000100000000
310212110200110110001012020
433321233121212010000
5120401013403024124
62154004320401440
7141644241315264
oct17715731460400
93773613401166
101092790673664
113914a4934458
12157959476280
137c085300cc1
143ac69c1c0a4
151d65cad9379
hexfe6f666100

1092790673664 has 144 divisors (see below), whose sum is σ = 2995512022272. Its totient is φ = 353411334144.

The previous prime is 1092790673657. The next prime is 1092790673683. The reversal of 1092790673664 is 4663760972901.

1092790673664 is digitally balanced in base 2 and base 4, because in such bases 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 = 1092790673598 and 1092790673607.

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, 9976377 + ... + 10085319.

Almost surely, 21092790673664 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 1092790673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497756011136).

1092790673664 is an abundant number, since it is smaller than the sum of its proper divisors (1902721348608).

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

1092790673664 is a wasteful number, since it uses less digits than its factorization.

1092790673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109352 (or 109338 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 1092790673664 in words is "one trillion, ninety-two billion, seven hundred ninety million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 353 384 444 592 706 768 888 1059 1184 1412 1776 2118 2368 2824 3552 4236 4736 5648 7104 8472 9472 11296 13061 14208 16944 22592 26122 28416 33888 39183 45184 52244 67776 78366 90368 104488 108943 135552 156732 208976 217886 271104 313464 326829 417952 435772 626928 653658 835904 871544 1253856 1307316 1671808 1743088 2507712 2614632 3343616 3486176 4030891 5015424 5229264 6972352 8061782 10030848 10458528 12092673 13944704 16123564 20917056 24185346 27889408 32247128 38456879 41834112 48370692 64494256 76913758 83668224 96741384 115370637 128988512 153827516 193482768 230741274 257977024 307655032 386965536 461482548 515954048 615310064 773931072 922965096 1031908096 1230620128 1422904523 1547862144 1845930192 2461240256 2845809046 3095724288 3691860384 4268713569 4922480512 5691618092 7383720768 8537427138 9844961024 11383236184 14767441536 17074854276 22766472368 29534883072 34149708552 45532944736 68299417104 91065889472 136598834208 182131778944 273197668416 364263557888 546395336832 1092790673664