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9148668900 = 22352712313539
BaseRepresentation
bin10001000010100110…
…11001101111100100
3212121120211112101220
420201103121233210
5122214024401100
64111451420340
7442466255040
oct104123315744
925546745356
109148668900
113975204398
121933a546b0
13b2a504367
1462b075020
15388296aa0
hex2214d9be4

9148668900 has 144 divisors (see below), whose sum is σ = 30284728320. Its totient is φ = 2088835200.

The previous prime is 9148668869. The next prime is 9148668913. The reversal of 9148668900 is 98668419.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 2583331 + ... + 2586869.

Almost surely, 29148668900 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 9148668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142364160).

9148668900 is an abundant number, since it is smaller than the sum of its proper divisors (21136059420).

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

9148668900 is a wasteful number, since it uses less digits than its factorization.

9148668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 9148668900 is about 95648.6743243209. The cubic root of 9148668900 is about 2091.4748028715.

The spelling of 9148668900 in words is "nine billion, one hundred forty-eight million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1231 2100 2462 3539 3693 4924 6155 7078 7386 8617 10617 12310 14156 14772 17234 17695 18465 21234 24620 24773 25851 30775 34468 35390 36930 42468 43085 49546 51702 53085 61550 70780 73860 74319 86170 88475 92325 99092 103404 106170 123100 123865 129255 148638 172340 176950 184650 212340 215425 247730 258510 265425 297276 353900 369300 371595 430850 495460 517020 530850 619325 646275 743190 861700 1061700 1238650 1292550 1486380 1857975 2477300 2585100 3715950 4356509 7431900 8713018 13069527 17426036 21782545 26139054 30495563 43565090 52278108 60991126 65347635 87130180 91486689 108912725 121982252 130695270 152477815 182973378 217825450 261390540 304955630 326738175 365946756 435650900 457433445 609911260 653476350 762389075 914866890 1306952700 1524778150 1829733780 2287167225 3049556300 4574334450 9148668900