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172034245579968 = 26331737239662251
BaseRepresentation
bin100111000111011011011000…
…000110001101010011000000
3211120010022110100212212021000
4213013123120012031103000
5140022102113332024333
61405515235200532000
751144030660011352
oct4707333006152300
9746108410785230
10172034245579968
114a8a734a785192
1217365480921000
1374cb9b52233a5
14306a7053710d2
1514d50139a1713
hex9c76d818d4c0

172034245579968 has 448 divisors, whose sum is σ = 552273664665600. Its totient is φ = 52293040128000.

The previous prime is 172034245579939. The next prime is 172034245579997. The reversal of 172034245579968 is 869975542430271.

172034245579968 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 3 + 4 + 2 + 4 + 557 + 9 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (172034245579939) and next prime (172034245579997).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 172034245579896 and 172034245579905.

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, 259440843 + ... + 260103093.

It is a 1-persistent number, because it is pandigital, but 2⋅172034245579968 = 344068491159936 is not.

Almost surely, 2172034245579968 is an apocalyptic number.

172034245579968 is a gapful number since it is divisible by the number (18) 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 172034245579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276136832332800).

172034245579968 is an abundant number, since it is smaller than the sum of its proper divisors (380239419085632).

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

172034245579968 is a wasteful number, since it uses less digits than its factorization.

172034245579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662565 (or 662549 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 172034245579968 in words is "one hundred seventy-two trillion, thirty-four billion, two hundred forty-five million, five hundred seventy-nine thousand, nine hundred sixty-eight".