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1080949181136 = 243112939377457
BaseRepresentation
bin11111011101011011001…
…01111000101011010000
310211100010012120220012220
433232231211320223100
5120202240442244021
62144325312221040
7141044633303406
oct17565545705320
93740105526186
101080949181136
113874786a58a0
121555b383a780
137ac18c567a6
143a4652a1476
151d1b8228cc6
hexfbad978ad0

1080949181136 has 160 divisors (see below), whose sum is σ = 3060380873088. Its totient is φ = 326050283520.

The previous prime is 1080949181083. The next prime is 1080949181189. The reversal of 1080949181136 is 6311819490801.

It is an interprime number because it is at equal distance from previous prime (1080949181083) and next prime (1080949181189).

It is a super-2 number, since 2×10809491811362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 144953920 + ... + 144961376.

Almost surely, 21080949181136 is an apocalyptic number.

1080949181136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080949181136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530190436544).

1080949181136 is an abundant number, since it is smaller than the sum of its proper divisors (1979431691952).

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

1080949181136 is a wasteful number, since it uses less digits than its factorization.

1080949181136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 1080949181136 in words is "one trillion, eighty billion, nine hundred forty-nine million, one hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 293 528 586 879 937 1172 1758 1874 2344 2811 3223 3516 3748 4688 5622 6446 7032 7457 7496 9669 10307 11244 12892 14064 14914 14992 19338 20614 22371 22488 25784 29828 30921 38676 41228 44742 44976 51568 59656 61842 77352 82027 82456 89484 119312 123684 154704 164054 164912 178968 246081 247368 274541 328108 357936 492162 494736 549082 656216 823623 984324 1098164 1312432 1647246 1968648 2184901 2196328 3019951 3294492 3937296 4369802 4392656 6039902 6554703 6588984 6987209 8739604 9059853 12079804 13109406 13177968 13974418 17479208 18119706 20961627 24033911 24159608 26218812 27948836 34958416 36239412 41923254 48067822 48319216 52437624 55897672 72101733 72478824 76859299 83846508 96135644 104875248 111795344 144203466 144957648 153718598 167693016 192271288 230577897 288406932 307437196 335386032 384542576 461155794 576813864 614874392 922311588 1153627728 1229748784 1844623176 2047252237 3689246352 4094504474 6141756711 8189008948 12283513422 16378017896 22519774607 24567026844 32756035792 45039549214 49134053688 67559323821 90079098428 98268107376 135118647642 180158196856 270237295284 360316393712 540474590568 1080949181136