Search a number
-
+
70944935100 = 2235213101233773
BaseRepresentation
bin100001000010010100…
…1011100110010111100
320210010021102010010220
41002010221130302330
52130243400410400
652331444101340
75061036666324
oct1020451346274
9223107363126
1070944935100
11280a6625876
12118bb394850
1368c8144c50
14361030c284
151ca35667a0
hex1084a5ccbc

70944935100 has 288 divisors, whose sum is σ = 224494006464. Its totient is φ = 17193984000.

The previous prime is 70944935099. The next prime is 70944935101. The reversal of 70944935100 is 153944907.

It is an interprime number because it is at equal distance from previous prime (70944935099) and next prime (70944935101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70944935101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91778314 + ... + 91779086.

It is an arithmetic number, because the mean of its divisors is an integer number (779493078).

Almost surely, 270944935100 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 70944935100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112247003232).

70944935100 is an abundant number, since it is smaller than the sum of its proper divisors (153549071364).

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

70944935100 is a wasteful number, since it uses less digits than its factorization.

70944935100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 70944935100 in words is "seventy billion, nine hundred forty-four million, nine hundred thirty-five thousand, one hundred".