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89769320368 = 247131931104677
BaseRepresentation
bin101001110011010101…
…0110001111110110000
322120201011210222011021
41103212222301332300
52432321421222433
6105123420025224
76325365430120
oct1234652617660
9276634728137
1089769320368
1135086494072
1215493692214
1386080b5860
1444b8410c80
152505eb222d
hex14e6ab1fb0

89769320368 has 160 divisors (see below), whose sum is σ = 232602890240. Its totient is φ = 32558423040.

The previous prime is 89769320351. The next prime is 89769320371. The reversal of 89769320368 is 86302396798.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805246 + ... + 909922.

It is an arithmetic number, because the mean of its divisors is an integer number (1453768064).

Almost surely, 289769320368 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 89769320368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116301445120).

89769320368 is an abundant number, since it is smaller than the sum of its proper divisors (142833569872).

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

89769320368 is a wasteful number, since it uses less digits than its factorization.

89769320368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104755 (or 104749 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 89769320368 in words is "eighty-nine billion, seven hundred sixty-nine million, three hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 31 38 52 56 62 76 91 104 112 124 133 152 182 208 217 247 248 266 304 364 403 434 494 496 532 589 728 806 868 988 1064 1178 1456 1612 1729 1736 1976 2128 2356 2821 3224 3458 3472 3952 4123 4712 5642 6448 6916 7657 8246 9424 11284 13832 15314 16492 22568 27664 30628 32984 45136 53599 61256 65968 104677 107198 122512 209354 214396 418708 428792 732739 837416 857584 1360801 1465478 1674832 1988863 2721602 2930956 3244987 3977726 5443204 5861912 6489974 7955452 9525607 10886408 11723824 12979948 13922041 15910904 19051214 21772816 22714909 25855219 25959896 27844082 31821808 38102428 42184831 45429818 51710438 51919792 55688164 61654753 76204856 84369662 90859636 103420876 111376328 123309506 152409712 168739324 180986533 181719272 206841752 222752656 246619012 295293817 337478648 361973066 363438544 413683504 431583271 493238024 590587634 674957296 723946132 801511789 863166542 986476048 1181175268 1447892264 1603023578 1726333084 2362350536 2895784528 3206047156 3452666168 4724701072 5610582523 6412094312 6905332336 11221165046 12824188624 22442330092 44884660184 89769320368