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51059836212816 = 24331832331774363
BaseRepresentation
bin10111001110000010010110…
…11001100101011001010000
320200210021100202222020121010
423213001023121211121100
523143031021032302231
6300332322005330520
713516644224533164
oct1347011331453120
9220707322866533
1051059836212816
11152a639a462332
1258878a3a06a40
132264bca5304b2
14c8744886aca4
155d82b4574546
hex2e704b665650

51059836212816 has 160 divisors (see below), whose sum is σ = 138391534374912. Its totient is φ = 16202622090240.

The previous prime is 51059836212797. The next prime is 51059836212871. The reversal of 51059836212816 is 61821263895015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27889251 + ... + 29663613.

Almost surely, 251059836212816 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 51059836212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69195767187456).

51059836212816 is an abundant number, since it is smaller than the sum of its proper divisors (87331698162096).

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

51059836212816 is a wasteful number, since it uses less digits than its factorization.

51059836212816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774721 (or 1774715 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 51059836212816 in words is "fifty-one trillion, fifty-nine billion, eight hundred thirty-six million, two hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 233 248 249 332 372 466 496 498 664 699 744 932 996 1328 1398 1488 1864 1992 2573 2796 3728 3984 5146 5592 7223 7719 10292 11184 14446 15438 19339 20584 21669 28892 30876 38678 41168 43338 57784 58017 61752 77356 86676 115568 116034 123504 154712 173352 232068 309424 346704 464136 599509 928272 1199018 1774363 1798527 2398036 3548726 3597054 4796072 5323089 7097452 7194108 9592144 10646178 14194904 14388216 21292356 28389808 28776432 42584712 55005253 85169424 110010506 147272129 165015759 220021012 294544258 330031518 413426579 440042024 441816387 589088516 660063036 826853158 880084048 883632774 1178177032 1240279737 1320126072 1653706316 1767265548 2356354064 2480559474 2640252144 3307412632 3534531096 4565435999 4961118948 6614825264 7069062192 9130871998 9922237896 12816223949 13696307997 18261743996 19844475792 25632447898 27392615994 34314406057 36523487992 38448671847 51264895796 54785231988 68628812114 73046975984 76897343694 102529791592 102943218171 109570463976 137257624228 153794687388 205059583184 205886436342 219140927952 274515248456 307589374776 411772872684 549030496912 615178749552 823545745368 1063746587767 1647091490736 2127493175534 3191239763301 4254986351068 6382479526602 8509972702136 12764959053204 17019945404272 25529918106408 51059836212816