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10242245415520 = 255678631107107
BaseRepresentation
bin1001010100001011010101…
…1001100101001001100000
31100021011000200201101212001
42111002311121211021200
52320302104311244040
633441120025013344
72104656250403116
oct225026531451140
940234020641761
1010242245415520
113299791582168
121195023324254
13593abb7a0091
14275a27abbab6
1512b65708c59a
hex950b5665260

10242245415520 has 96 divisors (see below), whose sum is σ = 24586937883648. Its totient is φ = 4031070371328.

The previous prime is 10242245415517. The next prime is 10242245415527. The reversal of 10242245415520 is 2551454224201.

It is a self number, because there is not a number n which added to its sum of digits gives 10242245415520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242245415527) 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, 8697807 + ... + 9804913.

It is an arithmetic number, because the mean of its divisors is an integer number (256113936288).

Almost surely, 210242245415520 is an apocalyptic number.

10242245415520 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 10242245415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293468941824).

10242245415520 is an abundant number, since it is smaller than the sum of its proper divisors (14344692468128).

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

10242245415520 is a wasteful number, since it uses less digits than its factorization.

10242245415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108052 (or 1108044 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

Adding to 10242245415520 its reverse (2551454224201), we get a palindrome (12793699639721).

The spelling of 10242245415520 in words is "ten trillion, two hundred forty-two billion, two hundred forty-five million, four hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 863 1072 1340 1726 2144 2680 3452 4315 5360 6904 8630 10720 13808 17260 27616 34520 57821 69040 115642 138080 231284 289105 462568 578210 925136 1107107 1156420 1850272 2214214 2312840 4428428 4625680 5535535 8856856 9251360 11071070 17713712 22142140 35427424 44284280 74176169 88568560 148352338 177137120 296704676 370880845 593409352 741761690 955433341 1186818704 1483523380 1910866682 2373637408 2967046760 3821733364 4777166705 5934093520 7643466728 9554333410 11868187040 15286933456 19108666820 30573866912 38217333640 64014033847 76434667280 128028067694 152869334560 256056135388 320070169235 512112270776 640140338470 1024224541552 1280280676940 2048449083104 2560561353880 5121122707760 10242245415520