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10070070516 = 223211374116763
BaseRepresentation
bin10010110000011100…
…10001010011110100
3221222210121120210200
421120032101103310
5131110414224031
64343124320500
7504355121112
oct113016212364
927883546720
1010070070516
1142a8324030
121b50543130
13c4638210c
146b75a2ab2
153de0ee8e6
hex2583914f4

10070070516 has 144 divisors (see below), whose sum is σ = 29216835648. Its totient is φ = 2896473600.

The previous prime is 10070070511. The next prime is 10070070539. The reversal of 10070070516 is 61507007001.

10070070516 is a `hidden beast` number, since 10 + 0 + 70 + 0 + 70 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10070070516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070070511) 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, 592351 + ... + 609113.

It is an arithmetic number, because the mean of its divisors is an integer number (202894692).

Almost surely, 210070070516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070070516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608417824).

10070070516 is an abundant number, since it is smaller than the sum of its proper divisors (19146765132).

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

10070070516 is a wasteful number, since it uses less digits than its factorization.

10070070516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

Adding to 10070070516 its reverse (61507007001), we get a palindrome (71577077517).

The spelling of 10070070516 in words is "ten billion, seventy million, seventy thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 41 44 66 74 82 99 111 123 132 148 164 198 222 246 333 369 396 407 444 451 492 666 738 814 902 1221 1332 1353 1476 1517 1628 1804 2442 2706 3034 3663 4059 4551 4884 5412 6068 7326 8118 9102 13653 14652 16236 16687 16763 18204 27306 33374 33526 50061 50289 54612 66748 67052 100122 100578 150183 150867 184393 200244 201156 300366 301734 368786 553179 600732 603468 620231 687283 737572 1106358 1240462 1374566 1659537 1860693 2061849 2212716 2480924 2749132 3319074 3721386 4123698 5582079 6185547 6638148 6822541 7442772 7560113 8247396 11164158 12371094 13645082 15120226 20467623 22328316 22680339 24742188 25429471 27290164 30240452 40935246 45360678 50858942 61402869 68041017 76288413 81870492 90721356 101717884 122805738 136082034 152576826 228865239 245611476 272164068 279724181 305153652 457730478 559448362 839172543 915460956 1118896724 1678345086 2517517629 3356690172 5035035258 10070070516