Search a number
-
+
269955209100 = 223521964277369
BaseRepresentation
bin1111101101101010010…
…1011001011110001100
3221210210122100111210210
43323122211121132030
513410332013142400
6324003221002420
725334512262643
oct3733245313614
9853718314723
10269955209100
11a453a7501a5
124439b553410
131c5c23b3425
14d0ccb9835a
15704eb88950
hex3eda95978c

269955209100 has 144 divisors (see below), whose sum is σ = 822418889600. Its totient is φ = 68179345920.

The previous prime is 269955209089. The next prime is 269955209137. The reversal of 269955209100 is 1902559962.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 269955209100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36630216 + ... + 36637584.

Almost surely, 2269955209100 is an apocalyptic number.

269955209100 is a gapful number since it is divisible by the number (20) 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 269955209100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411209444800).

269955209100 is an abundant number, since it is smaller than the sum of its proper divisors (552463680500).

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

269955209100 is a wasteful number, since it uses less digits than its factorization.

269955209100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13832 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 269955209100 in words is "two hundred sixty-nine billion, nine hundred fifty-five million, two hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 6427 7369 12854 14738 19281 22107 25708 29476 32135 36845 38562 44214 64270 73690 77124 88428 96405 110535 122113 128540 140011 147380 160675 184225 192810 221070 244226 280022 321350 366339 368450 385620 420033 442140 482025 488452 552675 560044 610565 642700 700055 732678 736900 840066 964050 1105350 1221130 1400110 1465356 1680132 1831695 1928100 2100165 2210700 2442260 2800220 3052825 3500275 3663390 4200330 6105650 7000550 7326780 8400660 9158475 10500825 12211300 14001100 18316950 21001650 36633900 42003300 47360563 94721126 142081689 189442252 236802815 284163378 473605630 568326756 710408445 899850697 947211260 1184014075 1420816890 1799701394 2368028150 2699552091 2841633780 3552042225 3599402788 4499253485 4736056300 5399104182 7104084450 8998506970 10798208364 13497760455 14208168900 17997013940 22496267425 26995520910 44992534850 53991041820 67488802275 89985069700 134977604550 269955209100