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47767816416 = 2537931320123
BaseRepresentation
bin101100011111001011…
…110000100011100000
311120022000120111101210
4230133023300203200
51240312030111131
633535542030120
73310505511615
oct543713604340
9146260514353
1047767816416
1119292761531
129311418340
134673480538
1424520b650c
15139891c146
hexb1f2f08e0

47767816416 has 96 divisors (see below), whose sum is σ = 127389749760. Its totient is φ = 15670047744.

The previous prime is 47767816399. The next prime is 47767816451. The reversal of 47767816416 is 61461876774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2363731 + ... + 2383853.

It is an arithmetic number, because the mean of its divisors is an integer number (1326976560).

Almost surely, 247767816416 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 47767816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63694874880).

47767816416 is an abundant number, since it is smaller than the sum of its proper divisors (79621933344).

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

47767816416 is a wasteful number, since it uses less digits than its factorization.

47767816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528 (or 20520 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 47767816416 in words is "forty-seven billion, seven hundred sixty-seven million, eight hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 313 316 474 626 632 939 948 1252 1264 1878 1896 2504 2528 3756 3792 5008 7512 7584 10016 15024 20123 24727 30048 40246 49454 60369 74181 80492 98908 120738 148362 160984 197816 241476 296724 321968 395632 482952 593448 643936 791264 965904 1186896 1589717 1931808 2373792 3179434 4769151 6298499 6358868 9538302 12596998 12717736 18895497 19076604 25193996 25435472 37790994 38153208 50387992 50870944 75581988 76306416 100775984 151163976 152612832 201551968 302327952 497581421 604655904 995162842 1492744263 1990325684 2985488526 3980651368 5970977052 7961302736 11941954104 15922605472 23883908208 47767816416