Search a number
-
+
103037374384959 = 37672347266311717
BaseRepresentation
bin10111011011011001000010…
…000110010100101100111111
3111111211021110210002021111210
4113123121002012110230333
5102001131020320304314
61003050414421015503
730463130122342650
oct2733310206245477
9444737423067453
10103037374384959
112a9159a5730503
12b681400254593
1345654c8a87321
141b6306d6c7527
15bda38a25a559
hex5db642194b3f

103037374384959 has 64 divisors (see below), whose sum is σ = 159494127722496. Its totient is φ = 57948287151744.

The previous prime is 103037374384951. The next prime is 103037374384993. The reversal of 103037374384959 is 959483473730301.

It is not a de Polignac number, because 103037374384959 - 23 = 103037374384951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103037374384959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103037374384951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8793829969 + ... + 8793841685.

It is an arithmetic number, because the mean of its divisors is an integer number (2492095745664).

Almost surely, 2103037374384959 is an apocalyptic number.

103037374384959 is a deficient number, since it is larger than the sum of its proper divisors (56456753337537).

103037374384959 is a wasteful number, since it uses less digits than its factorization.

103037374384959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16804.

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 103037374384959 in words is "one hundred three trillion, thirty-seven billion, three hundred seventy-four million, three hundred eighty-four thousand, nine hundred fifty-nine".

Divisors: 1 3 7 21 67 201 469 1407 2347 2663 7041 7989 11717 16429 18641 35151 49287 55923 82019 157249 178421 246057 471747 535263 785039 1100743 1248947 2355117 3302229 3746841 5495273 6250061 16485819 18750183 27499799 31202371 43750427 82499397 93607113 131251281 192498593 218416597 418754087 577495779 655249791 1256262261 1842486533 2090558857 2931278609 5527459599 6271676571 8793835827 12897405731 14633911999 38692217193 43901735997 73231964737 219695894211 512623753159 1537871259477 4906541637379 14719624912137 34345791461653 103037374384959