Search a number
-
+
70920714240 = 2113351779191
BaseRepresentation
bin100001000001100110…
…1000011100000000000
320210001120211120101000
41002003031003200000
52130221200323430
652325221012000
75060324060505
oct1020315034000
9223046746330
1070920714240
1128093992332
12118b3254000
1368c311458c
14360b0054ac
151ca137ee60
hex1083343800

70920714240 has 768 divisors, whose sum is σ = 271724544000. Its totient is φ = 17482383360.

The previous prime is 70920714233. The next prime is 70920714247. The reversal of 70920714240 is 4241702907.

It is an interprime number because it is at equal distance from previous prime (70920714233) and next prime (70920714247).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70920714195 and 70920714204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70920714247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371312545 + ... + 371312735.

It is an arithmetic number, because the mean of its divisors is an integer number (353808000).

Almost surely, 270920714240 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 70920714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272000).

70920714240 is an abundant number, since it is smaller than the sum of its proper divisors (200803829760).

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

70920714240 is a wasteful number, since it uses less digits than its factorization.

70920714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 70920714240 in words is "seventy billion, nine hundred twenty million, seven hundred fourteen thousand, two hundred forty".