Search a number
-
+
1207921893025 = 521922325032
BaseRepresentation
bin10001100100111101110…
…000010101111010100001
311021110212011010222020211
4101210331300111322201
5124242311001034100
62322524530134121
7153161300453041
oct21447560257241
94243764128224
101207921893025
11426305466621
1217612a721341
1389ba28b1283
144266c69d721
152164a4081ba
hex1193dc15ea1

1207921893025 has 81 divisors (see below), whose sum is σ = 1655815849779. Its totient is φ = 873933366240.

The previous prime is 1207921893007. The next prime is 1207921893041. The reversal of 1207921893025 is 5203981297021.

The square root of 1207921893025 is 1099055.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 434851881489 + 773070011536 = 659433^2 + 879244^2 .

It is not a de Polignac number, because 1207921893025 - 25 = 1207921892993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1207921893025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2401434924 + ... + 2401435426.

Almost surely, 21207921893025 is an apocalyptic number.

1207921893025 is the 1099055-th square number.

1207921893025 is the 549528-th centered octagonal number.

It is an amenable number.

1207921893025 is a deficient number, since it is larger than the sum of its proper divisors (447893956754).

1207921893025 is an frugal number, since it uses more digits than its factorization.

1207921893025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 1207921893025 by its sum of digits (49), we get a square (59188172758225 = 76933852).

The spelling of 1207921893025 in words is "one trillion, two hundred seven billion, nine hundred twenty-one million, eight hundred ninety-three thousand, twenty-five".

Divisors: 1 5 19 23 25 95 115 361 437 475 503 529 575 1805 2185 2515 2645 8303 9025 9557 10051 10925 11569 12575 13225 41515 47785 50255 57845 181583 190969 207575 219811 238925 251275 253009 266087 289225 907915 954845 1099055 1265045 1330435 4176409 4539575 4774225 4807171 5055653 5495275 5819207 6325225 6652175 20882045 24035855 25278265 29096035 91336249 96057407 104410225 110564933 120179275 126391325 133841761 145480175 456681245 480287035 552824665 669208805 2100733727 2283406225 2401435175 2542993459 2764123325 3346044025 10503668635 12714967295 48316875721 52518343175 63574836475 241584378605 1207921893025