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10718480880 = 2432572720477
BaseRepresentation
bin10011111101101111…
…10000100111110000
31000122222201020121100
421332313300213300
5133422412342010
64531330124400
7526420404252
oct117667604760
930588636540
1010718480880
114600337368
1220b1720700
13101a7ca6a3
1473974bcd2
1542aed12c0
hex27edf09f0

10718480880 has 120 divisors (see below), whose sum is σ = 36047505312. Its totient is φ = 2854190592.

The previous prime is 10718480879. The next prime is 10718481029. The reversal of 10718480880 is 8808481701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×107184808802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513202 + ... + 533678.

Almost surely, 210718480880 is an apocalyptic number.

10718480880 is a gapful number since it is divisible by the number (10) 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 10718480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023752656).

10718480880 is an abundant number, since it is smaller than the sum of its proper divisors (25329024432).

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

10718480880 is a wasteful number, since it uses less digits than its factorization.

10718480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21223 (or 21214 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 10718480880 in words is "ten billion, seven hundred eighteen million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 727 1454 2181 2908 3635 4362 5816 6543 7270 8724 10905 11632 13086 14540 17448 20477 21810 26172 29080 32715 34896 40954 43620 52344 58160 61431 65430 81908 87240 102385 104688 122862 130860 163816 174480 184293 204770 245724 261720 307155 327632 368586 409540 491448 523440 614310 737172 819080 921465 982896 1228620 1474344 1638160 1842930 2457240 2948688 3685860 4914480 7371720 14743440 14886779 29773558 44660337 59547116 74433895 89320674 119094232 133981011 148867790 178641348 223301685 238188464 267962022 297735580 357282696 446603370 535924044 595471160 669905055 714565392 893206740 1071848088 1190942320 1339810110 1786413480 2143696176 2679620220 3572826960 5359240440 10718480880