Search a number
-
+
104725746200 = 23524878291297
BaseRepresentation
bin110000110001000100…
…1000001001000011000
3101000022111222010022202
41201202021001020120
53203434242334300
6120035500105332
710365126104135
oct1414211011030
9330274863282
10104725746200
1140460a54179
1218368535248
139b4c8b627a
1450d693158c
152ace06aad5
hex1862241218

104725746200 has 96 divisors (see below), whose sum is σ = 244469992800. Its totient is φ = 41721661440.

The previous prime is 104725746197. The next prime is 104725746211. The reversal of 104725746200 is 2647527401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80743952 + ... + 80745248.

It is an arithmetic number, because the mean of its divisors is an integer number (2546562425).

Almost surely, 2104725746200 is an apocalyptic number.

104725746200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104725746200 is an abundant number, since it is smaller than the sum of its proper divisors (139744246600).

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

104725746200 is a wasteful number, since it uses less digits than its factorization.

104725746200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 104725746200 in words is "one hundred four billion, seven hundred twenty-five million, seven hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 487 829 974 1297 1658 1948 2435 2594 3316 3896 4145 4870 5188 6485 6632 8290 9740 10376 12175 12970 16580 19480 20725 24350 25940 32425 33160 41450 48700 51880 64850 82900 97400 129700 165800 259400 403723 631639 807446 1075213 1263278 1614892 2018615 2150426 2526556 3158195 3229784 4037230 4300852 5053112 5376065 6316390 8074460 8601704 10093075 10752130 12632780 15790975 16148920 20186150 21504260 25265560 26880325 31581950 40372300 43008520 53760650 63163900 80744600 107521300 126327800 215042600 523628731 1047257462 2094514924 2618143655 4189029848 5236287310 10472574620 13090718275 20945149240 26181436550 52362873100 104725746200