Search a number
-
+
998798000128 = 224371609
BaseRepresentation
bin11101000100011010000…
…00000000000000000000
310112111001221122111122021
432202031000000000000
5112331014242001003
62042501431251224
7132106100631145
oct16421500000000
93474057574567
10998798000128
11355651483675
121416a7519b14
1373256254006
14364b09563cc
151aeaae832bd
hexe88d000000

998798000128 has 100 divisors (see below), whose sum is σ = 2052860088580. Its totient is φ = 485599739904.

The previous prime is 998798000107. The next prime is 998798000171. The reversal of 998798000128 is 821000897899.

It can be written as a sum of positive squares in 2 ways, for example, as 942359445504 + 56438554624 = 970752^2 + 237568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 620756188 + ... + 620757796.

Almost surely, 2998798000128 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 998798000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026430044290).

998798000128 is an abundant number, since it is smaller than the sum of its proper divisors (1054062088452).

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

998798000128 is an frugal number, since it uses more digits than its factorization.

998798000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 998798000128 in words is "nine hundred ninety-eight billion, seven hundred ninety-eight million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1609 2048 2368 3218 4096 4736 6436 8192 9472 12872 16384 18944 25744 32768 37888 51488 59533 65536 75776 102976 119066 131072 151552 205952 238132 262144 303104 411904 476264 524288 606208 823808 952528 1048576 1212416 1647616 1905056 2097152 2424832 3295232 3810112 4194304 4849664 6590464 7620224 8388608 9699328 13180928 15240448 16777216 19398656 26361856 30480896 38797312 52723712 60961792 77594624 105447424 121923584 155189248 210894848 243847168 310378496 421789696 487694336 620756992 843579392 975388672 1687158784 1950777344 3374317568 3901554688 6748635136 7803109376 13497270272 15606218752 26994540544 31212437504 62424875008 124849750016 249699500032 499399000064 998798000128