Search a number
-
+
930194836992 = 2932811248909
BaseRepresentation
bin11011000100100111110…
…11101100111000000000
310021220222212200201201100
431202103323230320000
5110220014334240432
61551154155334400
7124130044441161
oct15422373547000
93256885621640
10930194836992
1132954780a833
12130340451400
136994231b465
143304366b768
15192e32e007c
hexd893eece00

930194836992 has 120 divisors (see below), whose sum is σ = 2687926321080. Its totient is φ = 309681377280.

The previous prime is 930194836969. The next prime is 930194836999. The reversal of 930194836992 is 299638491039.

930194836992 is a `hidden beast` number, since 9 + 3 + 0 + 1 + 9 + 483 + 69 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930194836999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3612634 + ... + 3861542.

It is an arithmetic number, because the mean of its divisors is an integer number (22399386009).

Almost surely, 2930194836992 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 930194836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343963160540).

930194836992 is an abundant number, since it is smaller than the sum of its proper divisors (1757731484088).

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

930194836992 is a wasteful number, since it uses less digits than its factorization.

930194836992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249744 (or 249725 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 930194836992 in words is "nine hundred thirty billion, one hundred ninety-four million, eight hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 811 1152 1536 1622 2304 2433 3244 4608 4866 6488 7299 9732 12976 14598 19464 25952 29196 38928 51904 58392 77856 103808 116784 155712 207616 233568 248909 311424 415232 467136 497818 622848 746727 934272 995636 1245696 1493454 1868544 1991272 2240181 2986908 3737088 3982544 4480362 5973816 7965088 8960724 11947632 15930176 17921448 23895264 31860352 35842896 47790528 63720704 71685792 95581056 127441408 143371584 191162112 201865199 286743168 382324224 403730398 573486336 605595597 807460796 1146972672 1211191194 1614921592 1816786791 2422382388 3229843184 3633573582 4844764776 6459686368 7267147164 9689529552 12919372736 14534294328 19379059104 25838745472 29068588656 38758118208 51677490944 58137177312 77516236416 103354981888 116274354624 155032472832 232548709248 310064945664 465097418496 930194836992