Search a number
-
+
78295925900 = 225217113407579
BaseRepresentation
bin100100011101011001…
…1010000010010001100
321111002120121010210102
41020322303100102030
52240322224112100
655545121230232
75441150250353
oct1107263202214
9244076533712
1078295925900
1130229010a85
1213211192378
1374ca09004a
143b0a71299a
152083ab2cd5
hex123acd048c

78295925900 has 72 divisors (see below), whose sum is σ = 181488852720. Its totient is φ = 29215191040.

The previous prime is 78295925881. The next prime is 78295925921. The reversal of 78295925900 is 952959287.

It is a super-2 number, since 2×782959259002 (a number of 23 digits) contains 22 as substring.

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, 11690 + ... + 395889.

It is an arithmetic number, because the mean of its divisors is an integer number (2520678510).

Almost surely, 278295925900 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 78295925900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744426360).

78295925900 is an abundant number, since it is smaller than the sum of its proper divisors (103192926820).

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

78295925900 is a wasteful number, since it uses less digits than its factorization.

78295925900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407723 (or 407716 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 56.

The spelling of 78295925900 in words is "seventy-eight billion, two hundred ninety-five million, nine hundred twenty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 113 170 226 340 425 452 565 850 1130 1700 1921 2260 2825 3842 5650 7684 9605 11300 19210 38420 48025 96050 192100 407579 815158 1630316 2037895 4075790 6928843 8151580 10189475 13857686 20378950 27715372 34644215 40757900 46056427 69288430 92112854 138576860 173221075 184225708 230282135 346442150 460564270 692884300 782959259 921128540 1151410675 1565918518 2302821350 3131837036 3914796295 4605642700 7829592590 15659185180 19573981475 39147962950 78295925900