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51046414419 = 37111325167723
BaseRepresentation
bin101111100010100110…
…100111100001010011
311212202111211112100110
4233202212213201103
51314020340230134
635241141452403
73454656235440
oct574246474123
9155674745313
1051046414419
111a715408760
129a87411103
134a767ab260
1426836c09c7
1514db6937e9
hexbe29a7853

51046414419 has 64 divisors (see below), whose sum is σ = 91749224448. Its totient is φ = 24379920000.

The previous prime is 51046414411. The next prime is 51046414421. The reversal of 51046414419 is 91441464015.

It is not a de Polignac number, because 51046414419 - 23 = 51046414411 is a prime.

It is a super-2 number, since 2×510464144192 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51046414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719892 + ... + 787614.

It is an arithmetic number, because the mean of its divisors is an integer number (1433581632).

Almost surely, 251046414419 is an apocalyptic number.

51046414419 is a deficient number, since it is larger than the sum of its proper divisors (40702810029).

51046414419 is a wasteful number, since it uses less digits than its factorization.

51046414419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68008.

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 51046414419 in words is "fifty-one billion, forty-six million, four hundred fourteen thousand, four hundred nineteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 251 273 429 753 1001 1757 2761 3003 3263 5271 8283 9789 19327 22841 35893 57981 67723 68523 107679 203169 251251 474061 744953 753753 880399 1422183 2234859 2641197 5214671 6162793 9684389 15644013 16998473 18488379 29053167 50995419 67790723 118989311 186983203 203372169 220980149 356967933 560949609 662940447 1308882421 1546861043 2430781639 3926647263 4640583129 7292344917 17015471473 51046414419