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10520256094544 = 2472931727143719
BaseRepresentation
bin1001100100010111000000…
…1000001010000101010000
31101020201121201212011222202
42121011300020022011100
52334330441030011134
634212534450422332
72134030516235120
oct231056010120520
941221551764882
1010520256094544
113396685337119
12121aa905919a8
135b4095a48651
1428527c65cc80
151339c902bd7e
hex9917020a150

10520256094544 has 160 divisors (see below), whose sum is σ = 24909872332800. Its totient is φ = 4206959285760.

The previous prime is 10520256094519. The next prime is 10520256094547. The reversal of 10520256094544 is 44549065202501.

It is a super-2 number, since 2×105202560945442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520256094547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73128317 + ... + 73272035.

It is an arithmetic number, because the mean of its divisors is an integer number (155686702080).

Almost surely, 210520256094544 is an apocalyptic number.

10520256094544 is a gapful number since it is divisible by the number (14) 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 10520256094544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454936166400).

10520256094544 is an abundant number, since it is smaller than the sum of its proper divisors (14389616238256).

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

10520256094544 is a wasteful number, since it uses less digits than its factorization.

10520256094544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144521 (or 144515 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 10520256094544 in words is "ten trillion, five hundred twenty billion, two hundred fifty-six million, ninety-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 203 217 232 248 406 434 464 496 727 812 868 899 1454 1624 1736 1798 2908 3248 3472 3596 5089 5816 6293 7192 10178 11632 12586 14384 20356 21083 22537 25172 40712 42166 45074 50344 81424 84332 90148 100688 143719 147581 157759 168664 180296 287438 295162 315518 337328 360592 574876 590324 631036 653573 1006033 1149752 1180648 1262072 1307146 2012066 2299504 2361296 2524144 2614292 4024132 4167851 4455289 4575011 5228584 8048264 8335702 8910578 9150022 10457168 16096528 16671404 17821156 18300044 29174957 31187023 33342808 35642312 36600088 58349914 62374046 66685616 71284624 73200176 104483713 116699828 124748092 129203381 208967426 233399656 249496184 258406762 417934852 466799312 498992368 516813524 731385991 835869704 904423667 1033627048 1462771982 1671739408 1808847334 2067254096 2925543964 3030027677 3238995103 3617694668 5851087928 6060055354 6477990206 7235389336 11702175856 12120110708 12955980412 14470778672 21210193739 22672965721 24240221416 25911960824 42420387478 45345931442 48480442832 51823921648 84840774956 90691862884 93930857987 169681549912 181383725768 187861715974 339363099824 362767451536 375723431948 657516005909 751446863896 1315032011818 1502893727792 2630064023636 5260128047272 10520256094544