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10741348720 = 245318352183
BaseRepresentation
bin10100000000011101…
…11111100101110000
31000201120202001101101
422000032333211300
5133444241124340
64533504214144
7530115646324
oct120016774560
930646661341
1010741348720
114612236303
1220b930a354
13102247625b
1473c7c1984
1542ceebc9a
hex2803bf970

10741348720 has 80 divisors (see below), whose sum is σ = 26090330112. Its totient is φ = 4107767040.

The previous prime is 10741348711. The next prime is 10741348727. The reversal of 10741348720 is 2784314701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10741348720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741348727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179749 + ... + 231931.

Almost surely, 210741348720 is an apocalyptic number.

10741348720 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 10741348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045165056).

10741348720 is an abundant number, since it is smaller than the sum of its proper divisors (15348981392).

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

10741348720 is a wasteful number, since it uses less digits than its factorization.

10741348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52310 (or 52304 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 10741348720 in words is "ten billion, seven hundred forty-one million, three hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 620 664 830 1240 1328 1660 2480 2573 3320 5146 6640 10292 12865 20584 25730 41168 51460 52183 102920 104366 205840 208732 260915 417464 521830 834928 1043660 1617673 2087320 3235346 4174640 4331189 6470692 8088365 8662378 12941384 16176730 17324756 21655945 25882768 32353460 34649512 43311890 64706920 69299024 86623780 129413840 134266859 173247560 268533718 346495120 537067436 671334295 1074134872 1342668590 2148269744 2685337180 5370674360 10741348720