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97822116040 = 235112172351691
BaseRepresentation
bin101101100011010100…
…1110000100011001000
3100100111101120101002211
41123012221300203020
53100314430203130
6112534443234504
710032060160405
oct1330651604310
9310441511084
1097822116040
1138539041700
1216b60518a34
1392bc5526cc
144a3dadd2ac
152827e3aa2a
hex16c6a708c8

97822116040 has 192 divisors, whose sum is σ = 267301399680. Its totient is φ = 32022988800.

The previous prime is 97822116019. The next prime is 97822116047. The reversal of 97822116040 is 4061122879.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 97822115984 and 97822116002.

It is not an unprimeable number, because it can be changed into a prime (97822116047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866595 + ... + 1918285.

It is an arithmetic number, because the mean of its divisors is an integer number (1392194790).

Almost surely, 297822116040 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 97822116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133650699840).

97822116040 is an abundant number, since it is smaller than the sum of its proper divisors (169479283640).

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

97822116040 is a wasteful number, since it uses less digits than its factorization.

97822116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51764 (or 51749 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 97822116040 in words is "ninety-seven billion, eight hundred twenty-two million, one hundred sixteen thousand, forty".