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6100969728 = 28371318663
BaseRepresentation
bin1011010111010010…
…10110100100000000
3120202012001101002210
411223221112210000
544443322012403
62445220542120
7304121246520
oct55351264400
916665041083
106100969728
112650924947
121223251940
13762c8ba79
1441c3b3680
1525a92eb03
hex16ba56900

6100969728 has 144 divisors (see below), whose sum is σ = 18700932096. Its totient is φ = 1729628160.

The previous prime is 6100969709. The next prime is 6100969757. The reversal of 6100969728 is 8279690016.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 699925 + ... + 708587.

It is an arithmetic number, because the mean of its divisors is an integer number (129867584).

Almost surely, 26100969728 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 6100969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350466048).

6100969728 is an abundant number, since it is smaller than the sum of its proper divisors (12599962368).

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

6100969728 is a wasteful number, since it uses less digits than its factorization.

6100969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 6100969728 is about 78108.7045597352. The cubic root of 6100969728 is about 1827.2569540472.

The spelling of 6100969728 in words is "six billion, one hundred million, nine hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 256 262 336 384 393 448 524 672 768 786 896 917 1048 1344 1572 1792 1834 2096 2688 2751 3144 3668 4192 5376 5502 6288 7336 8384 8663 11004 12576 14672 16768 17326 22008 25152 25989 29344 33536 34652 44016 50304 51978 58688 60641 69304 88032 100608 103956 117376 121282 138608 176064 181923 207912 234752 242564 277216 352128 363846 415824 485128 554432 704256 727692 831648 970256 1108864 1134853 1455384 1663296 1940512 2217728 2269706 2910768 3326592 3404559 3881024 4539412 5821536 6653184 6809118 7762048 7943971 9078824 11643072 13618236 15524096 15887942 18157648 23286144 23831913 27236472 31775884 36315296 46572288 47663826 54472944 63551768 72630592 95327652 108945888 127103536 145261184 190655304 217891776 254207072 290522368 381310608 435783552 508414144 762621216 871567104 1016828288 1525242432 2033656576 3050484864 6100969728