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60971393920 = 275251383991
BaseRepresentation
bin111000110010001011…
…011010001110000000
312211101012102201200211
4320302023122032000
51444332134101140
644002044323504
74255633203643
oct706213321600
9184335381624
1060971393920
1123948842758
12b997243594
135998a8c9a8
142d458b5a5a
1518bcb832ea
hexe322da380

60971393920 has 128 divisors (see below), whose sum is σ = 146870599680. Its totient is φ = 24203520000.

The previous prime is 60971393897. The next prime is 60971393939. The reversal of 60971393920 is 2939317906.

It is a tau number, because it is divible by the number of its divisors (128).

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, 61524625 + ... + 61525615.

It is an arithmetic number, because the mean of its divisors is an integer number (1147426560).

Almost surely, 260971393920 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 60971393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435299840).

60971393920 is an abundant number, since it is smaller than the sum of its proper divisors (85899205760).

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

60971393920 is a wasteful number, since it uses less digits than its factorization.

60971393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 49.

The spelling of 60971393920 in words is "sixty billion, nine hundred seventy-one million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 320 383 502 640 766 991 1004 1255 1532 1915 1982 2008 2510 3064 3830 3964 4016 4955 5020 6128 7660 7928 8032 9910 10040 12256 15320 15856 16064 19820 20080 24512 30640 31712 32128 39640 40160 49024 61280 63424 79280 80320 96133 122560 126848 158560 160640 192266 245120 248741 317120 379553 384532 480665 497482 634240 759106 769064 961330 994964 1243705 1518212 1538128 1897765 1922660 1989928 2487410 3036424 3076256 3795530 3845320 3979856 4974820 6072848 6152512 7591060 7690640 7959712 9949640 12145696 12305024 15182120 15381280 15919424 19899280 24291392 30364240 30762560 31838848 39798560 48582784 60728480 61525120 79597120 95267803 121456960 159194240 190535606 242913920 381071212 476339015 762142424 952678030 1524284848 1905356060 3048569696 3810712120 6097139392 7621424240 12194278784 15242848480 30485696960 60971393920