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89329254144 = 2831347918679
BaseRepresentation
bin101001100110001110…
…0000011111100000000
322112120111202021210020
41103030130003330000
52430421242113034
6105012015533440
76311443063164
oct1231434037400
9275514667706
1089329254144
1134980042879
121539022a280
138567b86540
144475bbaca4
1524cc537249
hex14cc703f00

89329254144 has 144 divisors (see below), whose sum is σ = 256582502400. Its totient is φ = 27427074048.

The previous prime is 89329254127. The next prime is 89329254169. The reversal of 89329254144 is 44145292398.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4772997 + ... + 4791675.

Almost surely, 289329254144 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 89329254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128291251200).

89329254144 is an abundant number, since it is smaller than the sum of its proper divisors (167253248256).

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

89329254144 is a wasteful number, since it uses less digits than its factorization.

89329254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190 (or 19176 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 89329254144 in words is "eighty-nine billion, three hundred twenty-nine million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 479 624 768 832 958 1248 1437 1664 1916 2496 2874 3328 3832 4992 5748 6227 7664 9984 11496 12454 15328 18679 18681 22992 24908 30656 37358 37362 45984 49816 56037 61312 74716 74724 91968 99632 112074 122624 149432 149448 183936 199264 224148 242827 298864 298896 367872 398528 448296 485654 597728 597792 728481 797056 896592 971308 1195456 1195584 1456962 1594112 1793184 1942616 2390912 2391168 2913924 3586368 3885232 4781824 4782336 5827848 7172736 7770464 8947241 11655696 14345472 15540928 17894482 23311392 26841723 31081856 35788964 46622784 53683446 62163712 71577928 93245568 107366892 116314133 143155856 186491136 214733784 232628266 286311712 348942399 429467568 465256532 572623424 697884798 858935136 930513064 1145246848 1395769596 1717870272 1861026128 2290493696 2791539192 3435740544 3722052256 5583078384 6871481088 7444104512 11166156768 14888209024 22332313536 29776418048 44664627072 89329254144