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98834047344 = 2434344922111
BaseRepresentation
bin101110000001011110…
…1111110000101110000
3100110002220200210220000
41130002331332011300
53104403004003334
6113223112350000
710066125353424
oct1340275760560
9313086623800
1098834047344
1138a0827466a
12171a33a5300
1394210a9526
144ad8274b84
152886bc7299
hex1702f7e170

98834047344 has 100 divisors (see below), whose sum is σ = 286150286400. Its totient is φ = 32933640960.

The previous prime is 98834047343. The next prime is 98834047393. The reversal of 98834047344 is 44374043889.

98834047344 is a `hidden beast` number, since 98 + 8 + 3 + 40 + 473 + 44 = 666.

98834047344 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98834047343) 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 19 ways as a sum of consecutive naturals, for example, 4458849 + ... + 4480959.

It is an arithmetic number, because the mean of its divisors is an integer number (2861502864).

Almost surely, 298834047344 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 98834047344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143075143200).

98834047344 is an abundant number, since it is smaller than the sum of its proper divisors (187316239056).

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

98834047344 is a wasteful number, since it uses less digits than its factorization.

98834047344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580 (or 25565 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 98834047344 in words is "ninety-eight billion, eight hundred thirty-four million, forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3449 6898 10347 13796 20694 22111 27592 31041 41388 44222 55184 62082 66333 82776 88444 93123 124164 132666 165552 176888 186246 198999 248328 265332 279369 353776 372492 397998 496656 530664 558738 596997 744984 795996 1061328 1117476 1193994 1489968 1591992 1790991 2234952 2387988 3183984 3581982 4469904 4775976 7163964 9551952 14327928 28655856 76260839 152521678 228782517 305043356 457565034 610086712 686347551 915130068 1220173424 1372695102 1830260136 2059042653 2745390204 3660520272 4118085306 5490780408 6177127959 8236170612 10981560816 12354255918 16472341224 24708511836 32944682448 49417023672 98834047344