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1972445434029 = 327101833307451
BaseRepresentation
bin11100101100111110111…
…010001101000010101101
320222120020010001212102200
4130230332322031002231
5224304032012342104
64110043503012113
7262335015362340
oct34547672150255
96876203055380
101972445434029
116a0567031614
1227a333b9a039
13114001a04c75
146b677130457
1536493e01b39
hex1cb3ee8d0ad

1972445434029 has 24 divisors (see below), whose sum is σ = 3256142964672. Its totient is φ = 1127096942400.

The previous prime is 1972445433971. The next prime is 1972445434073. The reversal of 1972445434029 is 9204345442791.

1972445434029 is a `hidden beast` number, since 1 + 9 + 7 + 244 + 54 + 340 + 2 + 9 = 666.

It is not a de Polignac number, because 1972445434029 - 27 = 1972445433901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972445435029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6261754 + ... + 6569204.

It is an arithmetic number, because the mean of its divisors is an integer number (135672623528).

Almost surely, 21972445434029 is an apocalyptic number.

It is an amenable number.

1972445434029 is a deficient number, since it is larger than the sum of its proper divisors (1283697530643).

1972445434029 is a wasteful number, since it uses less digits than its factorization.

1972445434029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409297 (or 409294 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1972445434029 in words is "one trillion, nine hundred seventy-two billion, four hundred forty-five million, four hundred thirty-four thousand, twenty-nine".

Divisors: 1 3 7 9 21 63 101833 305499 307451 712831 916497 922353 2138493 2152157 2767059 6415479 6456471 19369413 31308657683 93925973049 219160603781 281777919147 657481811343 1972445434029