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10545040002 = 23721511791327
BaseRepresentation
bin10011101001000100…
…01000101010000010
31000012220100112110010
421310202020222002
5133044012240002
64502212445350
7522213234600
oct116442105202
930186315403
1010545040002
1145214446a2
122063619856
13cc08b2153
147206c0870
1541ab7146c
hex274888a82

10545040002 has 96 divisors (see below), whose sum is σ = 24852510720. Its totient is φ = 2973952800.

The previous prime is 10545039971. The next prime is 10545040003. The reversal of 10545040002 is 20004054501.

It is a super-2 number, since 2×105450400022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10545040003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945863 + ... + 7947189.

It is an arithmetic number, because the mean of its divisors is an integer number (258880320).

Almost surely, 210545040002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545040002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426255360).

10545040002 is an abundant number, since it is smaller than the sum of its proper divisors (14307470718).

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

10545040002 is a wasteful number, since it uses less digits than its factorization.

10545040002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 10545040002 its reverse (20004054501), we get a palindrome (30549094503).

The spelling of 10545040002 in words is "ten billion, five hundred forty-five million, forty thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 151 179 294 302 358 453 537 906 1057 1074 1253 1327 2114 2506 2654 3171 3759 3981 6342 7399 7518 7962 8771 9289 14798 17542 18578 22197 26313 27029 27867 44394 52626 54058 55734 65023 81087 130046 162174 189203 195069 200377 237533 378406 390138 400754 475066 567609 601131 712599 1135218 1202262 1324421 1402639 1425198 1662731 2648842 2805278 3325462 3973263 4207917 4988193 7946526 8415834 9818473 9976386 11639117 19636946 23278234 29455419 34917351 35867483 58910838 69834702 71734966 107602449 215204898 251072381 502144762 753217143 1506434286 1757506667 3515013334 5272520001 10545040002