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11078157792304 = 2423314138960887
BaseRepresentation
bin1010000100110101010110…
…1010001111010000110000
31110020001122212022220102201
42201031111222033100300
52423001031343323204
635321122504152544
72222241035356111
oct241152552172060
943201585286381
1011078157792304
1135912472a3099
1212ab030768754
136248869ab435
142a42857ac208
1514327d0839a4
hexa1355a8f430

11078157792304 has 160 divisors (see below), whose sum is σ = 23744800235520. Its totient is φ = 4989339801600.

The previous prime is 11078157792293. The next prime is 11078157792307. The reversal of 11078157792304 is 40329775187011.

It is not an unprimeable number, because it can be changed into a prime (11078157792307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181915749 + ... + 181976635.

It is an arithmetic number, because the mean of its divisors is an integer number (148405001472).

Almost surely, 211078157792304 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 11078157792304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872400117760).

11078157792304 is an abundant number, since it is smaller than the sum of its proper divisors (12666642443216).

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

11078157792304 is a wasteful number, since it uses less digits than its factorization.

11078157792304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61379 (or 61373 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 11078157792304 in words is "eleven trillion, seventy-eight billion, one hundred fifty-seven million, seven hundred ninety-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 31 41 46 62 82 92 124 164 184 248 328 368 389 496 656 713 778 943 1271 1426 1556 1886 2542 2852 3112 3772 5084 5704 6224 7544 8947 10168 11408 12059 15088 15949 17894 20336 24118 29233 31898 35788 48236 58466 60887 63796 71576 96472 116932 121774 127592 143152 192944 233864 243548 255184 277357 366827 467728 487096 494419 554714 733654 974192 988838 1109428 1400401 1467308 1887497 1977676 2218856 2496367 2800802 2934616 3774994 3955352 4437712 4992734 5601604 5869232 7549988 7910704 9985468 11203208 11371637 15099976 19970936 22406416 22743274 23685043 30199952 39941872 43412431 45486548 47370086 57416441 77387377 86824862 90973096 94740172 114832882 154774754 173649724 181946192 189480344 229665764 309549508 347299448 378960688 459331528 544755989 619099016 694598896 734236333 918663056 971086763 1089511978 1238198032 1468472666 1779909671 1942173526 2179023956 2936945332 3559819342 3884347052 4358047912 5873890664 7119638684 7768694104 8716095824 11747781328 14239277368 15537388208 16887435659 22334995549 28478554736 30103689653 33774871318 44669991098 60207379306 67549742636 89339982196 120414758612 135099485272 178679964392 240829517224 270198970544 357359928784 481659034448 692384862019 1384769724038 2769539448076 5539078896152 11078157792304