Search a number
-
+
51198389748 = 22321131956237
BaseRepresentation
bin101111101011101010…
…010110110111110100
311220011002210200022100
4233223222112313310
51314323241432443
635304211102100
73461513063262
oct575352266764
9156132720270
1051198389748
111a79317a000
129b0a2a1930
134a9c11c29c
142699961432
1514e9bb33d3
hexbeba96df4

51198389748 has 144 divisors (see below), whose sum is σ = 149845026240. Its totient is φ = 14697840960.

The previous prime is 51198389713. The next prime is 51198389771. The reversal of 51198389748 is 84798389115.

It is a super-2 number, since 2×511983897482 (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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882286 + ... + 938522.

It is an arithmetic number, because the mean of its divisors is an integer number (1040590460).

Almost surely, 251198389748 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 51198389748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74922513120).

51198389748 is an abundant number, since it is smaller than the sum of its proper divisors (98646636492).

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

51198389748 is a wasteful number, since it uses less digits than its factorization.

51198389748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56299 (or 56272 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 51198389748 in words is "fifty-one billion, one hundred ninety-eight million, three hundred eighty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 363 396 418 484 627 684 726 836 1089 1254 1331 1452 1881 2178 2299 2508 2662 3762 3993 4356 4598 5324 6897 7524 7986 9196 11979 13794 15972 20691 23958 25289 27588 41382 47916 50578 56237 75867 82764 101156 112474 151734 168711 224948 227601 303468 337422 455202 506133 618607 674844 910404 1012266 1068503 1237214 1855821 2024532 2137006 2474428 3205509 3711642 4274012 5567463 6411018 6804677 7423284 9616527 11134926 11753533 12822036 13609354 19233054 20414031 22269852 23507066 27218708 35260599 38466108 40828062 47014132 61242093 70521198 74851447 81656124 105781797 122484186 129288863 141042396 149702894 211563594 224554341 244968372 258577726 299405788 387866589 423127188 449108682 517155452 673663023 775733178 898217364 1163599767 1347326046 1422177493 1551466356 2327199534 2694652092 2844354986 4266532479 4654399068 5688709972 8533064958 12799597437 17066129916 25599194874 51198389748