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10408984704 = 2735334651
BaseRepresentation
bin10011011000110110…
…01000000010000000
3222212102100012200000
421230123020002000
5132304200002304
64440512400000
7515641624116
oct115433100200
928772305600
1010408984704
1144616672a8
122025b46000
13c9b656461
1470a5c5ab6
1540dc48939
hex26c6c8080

10408984704 has 96 divisors (see below), whose sum is σ = 31062398640. Its totient is φ = 3469651200.

The previous prime is 10408984699. The next prime is 10408984721. The reversal of 10408984704 is 40748980401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 10408984704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136222 + ... + 198429.

Almost surely, 210408984704 is an apocalyptic number.

It is an amenable number.

10408984704 is an abundant number, since it is smaller than the sum of its proper divisors (20653413936).

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

10408984704 is an frugal number, since it uses more digits than its factorization.

10408984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334680 (or 334656 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10408984704 in words is "ten billion, four hundred eight million, nine hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 334651 669302 1003953 1338604 2007906 2677208 3011859 4015812 5354416 6023718 8031624 9035577 10708832 12047436 16063248 18071154 21417664 24094872 27106731 32126496 36142308 42835328 48189744 54213462 64252992 72284616 81320193 96379488 108426924 128505984 144569232 162640386 192758976 216853848 289138464 325280772 385517952 433707696 578276928 650561544 867415392 1156553856 1301123088 1734830784 2602246176 3469661568 5204492352 10408984704