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32104412320 = 2554319723687
BaseRepresentation
bin11101111001100100…
…100111010010100000
310001212102010010101011
4131321210213102200
51011222212143240
622425404550304
72214402000511
oct357144472240
9101772103334
1032104412320
1112685116172
12627b852394
1330483693a6
1417a7b22a08
15c7d7636ea
hex7799274a0

32104412320 has 96 divisors (see below), whose sum is σ = 78007805568. Its totient is φ = 12478921728.

The previous prime is 32104412317. The next prime is 32104412323. The reversal of 32104412320 is 2321440123.

It is an interprime number because it is at equal distance from previous prime (32104412317) and next prime (32104412323).

It is a junction number, because it is equal to n+sod(n) for n = 32104412291 and 32104412300.

It is not an unprimeable number, because it can be changed into a prime (32104412323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343517 + ... + 1367203.

It is an arithmetic number, because the mean of its divisors is an integer number (812581308).

Almost surely, 232104412320 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 32104412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39003902784).

32104412320 is an abundant number, since it is smaller than the sum of its proper divisors (45903393248).

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

32104412320 is a wasteful number, since it uses less digits than its factorization.

32104412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23942 (or 23934 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 32104412320 its reverse (2321440123), we get a palindrome (34425852443).

The spelling of 32104412320 in words is "thirty-two billion, one hundred four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 197 215 344 394 430 688 788 860 985 1376 1576 1720 1970 3152 3440 3940 6304 6880 7880 8471 15760 16942 23687 31520 33884 42355 47374 67768 84710 94748 118435 135536 169420 189496 236870 271072 338840 378992 473740 677680 757984 947480 1018541 1355360 1894960 2037082 3789920 4074164 4666339 5092705 8148328 9332678 10185410 16296656 18665356 20370820 23331695 32593312 37330712 40741640 46663390 74661424 81483280 93326780 149322848 162966560 186653560 200652577 373307120 401305154 746614240 802610308 1003262885 1605220616 2006525770 3210441232 4013051540 6420882464 8026103080 16052206160 32104412320