Search a number
-
+
2354542117620 = 22357114791063969
BaseRepresentation
bin100010010000110101101…
…001011000001011110100
322100002111002101112100120
4202100311221120023310
5302034100240230440
65001354533011540
7332052514531530
oct42206551301364
98302432345316
102354542117620
11828612708350
123203ab483bb0
13141056164b54
1481d63672bc0
15413a8b8ddd0
hex22435a582f4

2354542117620 has 192 divisors, whose sum is σ = 8236659916800. Its totient is φ = 488233635840.

The previous prime is 2354542117597. The next prime is 2354542117661. The reversal of 2354542117620 is 267112454532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1680996 + ... + 2744964.

It is an arithmetic number, because the mean of its divisors is an integer number (42899270400).

Almost surely, 22354542117620 is an apocalyptic number.

2354542117620 is a gapful number since it is divisible by the number (20) 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 2354542117620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118329958400).

2354542117620 is an abundant number, since it is smaller than the sum of its proper divisors (5882117799180).

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

2354542117620 is a wasteful number, since it uses less digits than its factorization.

2354542117620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064478 (or 1064476 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2354542117620 in words is "two trillion, three hundred fifty-four billion, five hundred forty-two million, one hundred seventeen thousand, six hundred twenty".