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97049803904 = 2719347115001
BaseRepresentation
bin101101001100010011…
…1100111110010000000
3100021111120022212000122
41122120213213302000
53042224222211104
6112330054035412
710003661502464
oct1323047476200
9307446285018
1097049803904
11381820a2109
1216985948b68
1391c8545291
1449a93004a4
1527d02326be
hex16989e7c80

97049803904 has 64 divisors (see below), whose sum is σ = 204105549600. Its totient is φ = 45838080000.

The previous prime is 97049803853. The next prime is 97049803913. The reversal of 97049803904 is 40930894079.

It is a happy number.

97049803904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 786404 + ... + 901404.

Almost surely, 297049803904 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 97049803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102052774800).

97049803904 is an abundant number, since it is smaller than the sum of its proper divisors (107055745696).

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

97049803904 is a wasteful number, since it uses less digits than its factorization.

97049803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115381 (or 115369 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 97049803904 in words is "ninety-seven billion, forty-nine million, eight hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 347 608 694 1216 1388 2432 2776 5552 6593 11104 13186 22208 26372 44416 52744 105488 115001 210976 230002 421952 460004 843904 920008 1840016 2185019 3680032 4370038 7360064 8740076 14720128 17480152 34960304 39905347 69920608 79810694 139841216 159621388 279682432 319242776 638485552 758201593 1276971104 1516403186 2553942208 3032806372 5107884416 6065612744 12131225488 24262450976 48524901952 97049803904