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89979191520820 = 225713711503407833
BaseRepresentation
bin10100011101010111101001…
…101111110110111000110100
3102210120221000120021000021021
4110131113221233312320310
543243204341012131240
6515211511523430524
724644532150360610
oct2435275157667064
9383527016230237
1089979191520820
1126740a62951828
12a1126a1225444
133b29002c81664
1418310322a6340
15a60872b6154a
hex51d5e9bf6e34

89979191520820 has 96 divisors (see below), whose sum is σ = 217545781275648. Its totient is φ = 30622088558592.

The previous prime is 89979191520731. The next prime is 89979191520853. The reversal of 89979191520820 is 2802519197998.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 89979191520820.

It is a congruent number.

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, 220423624 + ... + 220831456.

It is an arithmetic number, because the mean of its divisors is an integer number (2266101888288).

Almost surely, 289979191520820 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 89979191520820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108772890637824).

89979191520820 is an abundant number, since it is smaller than the sum of its proper divisors (127566589754828).

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

89979191520820 is a wasteful number, since it uses less digits than its factorization.

89979191520820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419489 (or 419487 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 70.

The spelling of 89979191520820 in words is "eighty-nine trillion, nine hundred seventy-nine billion, one hundred ninety-one million, five hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 11503 19180 23006 46012 57515 80521 115030 161042 230060 322084 402605 407833 805210 815666 1575911 1610420 1631332 2039165 2854831 3151822 4078330 5709662 6303644 7879555 8156660 11031377 11419324 14274155 15759110 22062754 28548310 31518220 44125508 55156885 55873121 57096620 110313770 111746242 220627540 223492484 279365605 391111847 558731210 782223694 1117462420 1564447388 1955559235 3911118470 4691302999 7822236940 9382605998 18765211996 23456514995 32839120993 46913029990 65678241986 93826059980 131356483972 164195604965 328391209930 642708510863 656782419860 1285417021726 2570834043452 3213542554315 4498959576041 6427085108630 8997919152082 12854170217260 17995838304164 22494797880205 44989595760410 89979191520820