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51378276208 = 2472341835861
BaseRepresentation
bin101111110110011000…
…100100011101110000
311220121122021212010211
4233312120210131300
51320210314314313
635334114433504
73466126066510
oct576630443560
9156548255124
1051378276208
111a8757743a6
129b5a592894
134aca48358c
1426b57c9840
15150a897e3d
hexbf6624770

51378276208 has 160 divisors (see below), whose sum is σ = 123094121472. Its totient is φ = 20297164800.

The previous prime is 51378276199. The next prime is 51378276217. The reversal of 51378276208 is 80267287315.

It is an interprime number because it is at equal distance from previous prime (51378276199) and next prime (51378276217).

It is a super-2 number, since 2×513782762082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8763198 + ... + 8769058.

Almost surely, 251378276208 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 51378276208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61547060736).

51378276208 is an abundant number, since it is smaller than the sum of its proper divisors (71715845264).

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

51378276208 is a wasteful number, since it uses less digits than its factorization.

51378276208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 51378276208 in words is "fifty-one billion, three hundred seventy-eight million, two hundred seventy-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 82 83 92 112 161 164 166 184 287 322 328 332 368 574 581 644 656 664 943 1148 1162 1288 1328 1886 1909 2296 2324 2576 3403 3772 3818 4592 4648 5861 6601 6806 7544 7636 9296 11722 13202 13363 13612 15088 15272 23444 23821 26404 26726 27224 30544 41027 46888 47642 52808 53452 54448 78269 82054 93776 95284 105616 106904 134803 156538 164108 190568 213808 240301 269606 313076 328216 381136 480602 486463 539212 547883 626152 656432 943621 961204 972926 1078424 1095766 1252304 1682107 1887242 1922408 1945852 2156848 2191532 3364214 3405241 3774484 3844816 3891704 4383064 5526923 6728428 6810482 7548968 7783408 8766128 11053846 11188649 13456856 13620964 15097936 19944983 22107692 22377298 26913712 27241928 38688461 39889966 44215384 44754596 54483856 77376922 78320543 79779932 88430768 89509192 139614881 154753844 156641086 159559864 179018384 279229762 309507688 313282172 319119728 458734609 558459524 619015376 626564344 917469218 1116919048 1253128688 1834938436 2233838096 3211142263 3669876872 6422284526 7339753744 12844569052 25689138104 51378276208