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1002530010432 = 26371456716103
BaseRepresentation
bin11101001011010110111…
…00011111010101000000
310112211201001002021100010
432211223130133111000
5112411140140313212
62044320025224520
7132300425325516
oct16455334372500
93484631067303
101002530010432
11357197067205
12142369332140
13736cc4a4932
143674646a4b6
151b12891e03c
hexe96b71f540

1002530010432 has 112 divisors (see below), whose sum is σ = 2690642921472. Its totient is φ = 329377359360.

The previous prime is 1002530010421. The next prime is 1002530010437. The reversal of 1002530010432 is 2340100352001.

It is a junction number, because it is equal to n+sod(n) for n = 1002530010399 and 1002530010408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002530010437) 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, 62249293 + ... + 62265395.

Almost surely, 21002530010432 is an apocalyptic number.

1002530010432 is a gapful number since it is divisible by the number (12) 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 1002530010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345321460736).

1002530010432 is an abundant number, since it is smaller than the sum of its proper divisors (1688112911040).

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

1002530010432 is a wasteful number, since it uses less digits than its factorization.

1002530010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20756 (or 20746 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1002530010432 its reverse (2340100352001), we get a palindrome (3342630362433).

The spelling of 1002530010432 in words is "one trillion, two billion, five hundred thirty million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 4567 6816 9134 13632 13701 16103 18268 27402 32206 36536 48309 54804 64412 73072 96618 109608 128824 146144 193236 219216 257648 292288 324257 386472 438432 515296 648514 772944 876864 972771 1030592 1143313 1297028 1545888 1945542 2286626 2594056 3091776 3429939 3891084 4573252 5188112 6859878 7782168 9146504 10376224 13719756 15564336 18293008 20752448 27439512 31128672 36586016 54879024 62257344 73172032 73542401 109758048 147084802 219516096 220627203 294169604 441254406 588339208 882508812 1176678416 1765017624 2353356832 3530035248 4706713664 5221510471 7060070496 10443020942 14120140992 15664531413 20886041884 31329062826 41772083768 62658125652 83544167536 125316251304 167088335072 250632502608 334176670144 501265005216 1002530010432