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291420451712 = 27131093160231
BaseRepresentation
bin1000011110110100000…
…00110011001110000000
31000212012120222211001102
410033122000303032000
514233312113423322
6341513211353532
730024445653125
oct4173200631600
91025176884042
10291420451712
1110265527a725
12485901528a8
1321633500b10
14101678d674c
1578a9385792
hex43da033380

291420451712 has 64 divisors (see below), whose sum is σ = 625798894560. Its totient is φ = 134377850880.

The previous prime is 291420451681. The next prime is 291420451739. The reversal of 291420451712 is 217154024192.

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

It is a super-2 number, since 2×2914204517122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738637 + ... + 1898867.

Almost surely, 2291420451712 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 291420451712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312899447280).

291420451712 is an abundant number, since it is smaller than the sum of its proper divisors (334378442848).

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

291420451712 is a wasteful number, since it uses less digits than its factorization.

291420451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161351 (or 161339 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 291420451712 in words is "two hundred ninety-one billion, four hundred twenty million, four hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1093 1664 2186 4372 8744 14209 17488 28418 34976 56836 69952 113672 139904 160231 227344 320462 454688 640924 909376 1281848 1818752 2083003 2563696 4166006 5127392 8332012 10254784 16664024 20509568 33328048 66656096 133312192 175132483 266624384 350264966 700529932 1401059864 2276722279 2802119728 4553444558 5604239456 9106889116 11208478912 18213778232 22416957824 36427556464 72855112928 145710225856 291420451712