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10233202455136 = 2537167227322769
BaseRepresentation
bin1001010011101001101001…
…1001011011001001100000
31100020021200110210102021101
42110322122121123021200
52320130044312031021
633433022431004144
72104216203454123
oct224723231331140
940207613712241
1010233202455136
113295971009191
12119331a969654
13592caa15a94b
1427540aac23ba
1512b2c8226a91
hex94e9a65b260

10233202455136 has 96 divisors (see below), whose sum is σ = 20825091524160. Its totient is φ = 4946110119936.

The previous prime is 10233202455107. The next prime is 10233202455137. The reversal of 10233202455136 is 63155420233201.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 10233202455095 and 10233202455104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233202455137) 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, 449424360 + ... + 449447128.

It is an arithmetic number, because the mean of its divisors is an integer number (216928036710).

Almost surely, 210233202455136 is an apocalyptic number.

10233202455136 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 10233202455136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412545762080).

10233202455136 is an abundant number, since it is smaller than the sum of its proper divisors (10591889069024).

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

10233202455136 is a wasteful number, since it uses less digits than its factorization.

10233202455136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25256 (or 25248 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 10233202455136 its reverse (63155420233201), we get a palindrome (73388622688337).

The spelling of 10233202455136 in words is "ten trillion, two hundred thirty-three billion, two hundred two million, four hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 74 148 167 296 334 592 668 1184 1336 2273 2672 4546 5344 6179 9092 12358 18184 22769 24716 36368 45538 49432 72736 84101 91076 98864 168202 182152 197728 336404 364304 379591 672808 728608 759182 842453 1345616 1518364 1684906 2691232 3036728 3369812 3802423 6073456 6739624 7604846 12146912 13479248 14044867 15209692 26958496 28089734 30419384 51753937 56179468 60838768 103507874 112358936 121677536 140689651 207015748 224717872 281379302 414031496 449435744 562758604 828062992 1125517208 1656125984 1914895669 2251034416 3829791338 4502068832 7659582676 8642907479 15319165352 17285814958 30638330704 34571629916 61276661408 69143259832 138286519664 276573039328 319787576723 639575153446 1279150306892 2558300613784 5116601227568 10233202455136