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107972050700 = 225217173367127
BaseRepresentation
bin110010010001110100…
…0101011111100001100
3101022200202110110220202
41210203220223330030
53232111321110300
6121333543433032
710541435200553
oct1444350537414
9338622413822
10107972050700
1141877453858
1218b13755778
13a2493180c7
145323b30d9a
152c1e063ad5
hex1923a2bf0c

107972050700 has 72 divisors (see below), whose sum is σ = 249516342432. Its totient is φ = 40413230080.

The previous prime is 107972050679. The next prime is 107972050741. The reversal of 107972050700 is 7050279701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110537 + ... + 477663.

It is an arithmetic number, because the mean of its divisors is an integer number (3465504756).

Almost surely, 2107972050700 is an apocalyptic number.

107972050700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107972050700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124758171216).

107972050700 is an abundant number, since it is smaller than the sum of its proper divisors (141544291732).

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

107972050700 is a wasteful number, since it uses less digits than its factorization.

107972050700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367331 (or 367324 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The spelling of 107972050700 in words is "one hundred seven billion, nine hundred seventy-two million, fifty thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 692 850 865 1700 1730 2941 3460 4325 5882 8650 11764 14705 17300 29410 58820 73525 147050 294100 367127 734254 1468508 1835635 3671270 6241159 7342540 9178175 12482318 18356350 24964636 31205795 36712700 62411590 63512971 124823180 127025942 156028975 254051884 312057950 317564855 624115900 635129710 1079720507 1270259420 1587824275 2159441014 3175648550 4318882028 5398602535 6351297100 10797205070 21594410140 26993012675 53986025350 107972050700