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89457432320 = 2851912391531
BaseRepresentation
bin101001101010000010…
…1000001011100000000
322112220102221102012002
41103110011001130000
52431202100313240
6105032435123132
76314560425404
oct1232405013400
9275812842162
1089457432320
1134a3642aa53
12154071434a8
1385885b4a09
144488c25104
1524d8905d15
hex14d4141700

89457432320 has 144 divisors (see below), whose sum is σ = 216442920960. Its totient is φ = 35423539200.

The previous prime is 89457432269. The next prime is 89457432349. The reversal of 89457432320 is 2323475498.

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, 58429955 + ... + 58431485.

It is an arithmetic number, because the mean of its divisors is an integer number (1503075840).

Almost surely, 289457432320 is an apocalyptic number.

89457432320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89457432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221460480).

89457432320 is an abundant number, since it is smaller than the sum of its proper divisors (126985488640).

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

89457432320 is a wasteful number, since it uses less digits than its factorization.

89457432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 89457432320 in words is "eighty-nine billion, four hundred fifty-seven million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 239 256 320 382 478 640 764 955 956 1195 1280 1528 1531 1910 1912 2390 3056 3062 3820 3824 4780 6112 6124 7640 7648 7655 9560 12224 12248 15280 15296 15310 19120 24448 24496 30560 30592 30620 38240 45649 48896 48992 61120 61184 61240 76480 91298 97984 122240 122480 152960 182596 195968 228245 244480 244960 292421 305920 365192 365909 391936 456490 489920 584842 730384 731818 912980 979840 1169684 1460768 1462105 1463636 1825960 1829545 1959680 2339368 2921536 2924210 2927272 3651920 3659090 4678736 5843072 5848420 5854544 7303840 7318180 9357472 11686144 11696840 11709088 14607680 14636360 18714944 23393680 23418176 29215360 29272720 37429888 46787360 46836352 58430720 58545440 69888619 74859776 93574720 93672704 117090880 139777238 187149440 234181760 279554476 349443095 374298880 468363520 559108952 698886190 1118217904 1397772380 2236435808 2795544760 4472871616 5591089520 8945743232 11182179040 17891486464 22364358080 44728716160 89457432320