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990848133 = 341129311237
BaseRepresentation
bin111011000011110…
…010010010000101
32120001110022010000
4323003302102011
54012124120013
6242153151513
733361033032
oct7303622205
92501408100
10990848133
11469342960
122379bb599
1312a384692
1495848389
155bec4973
hex3b0f2485

990848133 has 80 divisors (see below), whose sum is σ = 1725672960. Its totient is φ = 560649600.

The previous prime is 990848101. The next prime is 990848147. The reversal of 990848133 is 331848099.

It is not a de Polignac number, because 990848133 - 25 = 990848101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990848153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800391 + ... + 801627.

It is an arithmetic number, because the mean of its divisors is an integer number (21570912).

Almost surely, 2990848133 is an apocalyptic number.

990848133 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

990848133 is a deficient number, since it is larger than the sum of its proper divisors (734824827).

990848133 is a wasteful number, since it uses less digits than its factorization.

990848133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 990848133 is about 31477.7402778535. The cubic root of 990848133 is about 996.9400237627.

The spelling of 990848133 in words is "nine hundred ninety million, eight hundred forty-eight thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 29 31 33 81 87 93 99 261 279 297 319 341 783 837 891 899 957 1023 1237 2349 2511 2697 2871 3069 3711 8091 8613 9207 9889 11133 13607 24273 25839 27621 29667 33399 35873 38347 40821 72819 89001 100197 107619 115041 122463 267003 322857 345123 367389 394603 421817 801009 968571 1035369 1102167 1112063 1183809 1265451 2905713 3106107 3336189 3551427 3796353 10008567 10654281 11389059 12232693 30025701 31962843 34167177 36698079 90077103 110094237 330282711 990848133