Search a number
-
+
7097938416000 = 273353131125423
BaseRepresentation
bin110011101001001111000…
…0110010001000110000000
3221010120000112101000001000
41213102132012101012000
51412243034213303000
623032425313412000
71331544350031555
oct147223606210600
927116015330030
107097938416000
112297245213913
1296776526a000
133c6442caaa83
141a778356aa2c
15c497895e000
hex6749e191180

7097938416000 has 512 divisors, whose sum is σ = 26343856281600. Its totient is φ = 1878319872000.

The previous prime is 7097938415999. The next prime is 7097938416031. The reversal of 7097938416000 is 6148397907.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56529289 + ... + 56654711.

It is an arithmetic number, because the mean of its divisors is an integer number (51452844300).

Almost surely, 27097938416000 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 7097938416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171928140800).

7097938416000 is an abundant number, since it is smaller than the sum of its proper divisors (19245917865600).

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

7097938416000 is a wasteful number, since it uses less digits than its factorization.

7097938416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125592 (or 125564 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 7097938416000 in words is "seven trillion, ninety-seven billion, nine hundred thirty-eight million, four hundred sixteen thousand".