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51791465640 = 23353181117167
BaseRepresentation
bin110000001111000000…
…110000110010101000
311221200102210001111010
4300033000300302220
51322032103400030
635443114503520
73512304123435
oct601700606250
9157612701433
1051791465640
111aa67a28772
12a054a34ba0
134b64c62375
142714624b8c
151531cb46b0
hexc0f030ca8

51791465640 has 128 divisors (see below), whose sum is σ = 160593592320. Its totient is φ = 13348281600.

The previous prime is 51791465633. The next prime is 51791465641. The reversal of 51791465640 is 4656419715.

It is a self number, because there is not a number n which added to its sum of digits gives 51791465640.

It is not an unprimeable number, because it can be changed into a prime (51791465641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3008337 + ... + 3025503.

It is an arithmetic number, because the mean of its divisors is an integer number (1254637440).

Almost surely, 251791465640 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 51791465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80296796160).

51791465640 is an abundant number, since it is smaller than the sum of its proper divisors (108802126680).

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

51791465640 is a wasteful number, since it uses less digits than its factorization.

51791465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023 (or 18019 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 51791465640 in words is "fifty-one billion, seven hundred ninety-one million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 811 930 1240 1622 1860 2433 3244 3720 4055 4866 6488 8110 9732 12165 16220 17167 19464 24330 25141 32440 34334 48660 50282 51501 68668 75423 85835 97320 100564 103002 125705 137336 150846 171670 201128 206004 251410 257505 301692 343340 377115 412008 502820 515010 532177 603384 686680 754230 1005640 1030020 1064354 1508460 1596531 2060040 2128708 2660885 3016920 3193062 4257416 5321770 6386124 7982655 10643540 12772248 13922437 15965310 21287080 27844874 31930620 41767311 55689748 63861240 69612185 83534622 111379496 139224370 167069244 208836555 278448740 334138488 417673110 431595547 556897480 835346220 863191094 1294786641 1670692440 1726382188 2157977735 2589573282 3452764376 4315955470 5179146564 6473933205 8631910940 10358293128 12947866410 17263821880 25895732820 51791465640