Search a number
-
+
50957370601040 = 24513116972865259
BaseRepresentation
bin10111001011000011011111…
…11110010010111001010000
320200102110212202211211211202
423211201233332102321100
523134341143333213130
6300213254243530332
713506356101312151
oct1345415776227120
9220373782754752
1050957370601040
1115266999280652
12586ba683899a8
13225834ac71a97
14c824c818b928
155d57b8b53145
hex2e586ff92e50

50957370601040 has 80 divisors (see below), whose sum is σ = 119450672256960. Its totient is φ = 20215426682880.

The previous prime is 50957370601031. The next prime is 50957370601043. The reversal of 50957370601040 is 4010607375905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50957370601043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16351931 + ... + 19217189.

It is an arithmetic number, because the mean of its divisors is an integer number (1493133403212).

Almost surely, 250957370601040 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 50957370601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59725336128480).

50957370601040 is an abundant number, since it is smaller than the sum of its proper divisors (68493301655920).

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

50957370601040 is a wasteful number, since it uses less digits than its factorization.

50957370601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867100 (or 2867094 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 47.

Adding to 50957370601040 its reverse (4010607375905), we get a palindrome (54967977976945).

The spelling of 50957370601040 in words is "fifty trillion, nine hundred fifty-seven billion, three hundred seventy million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 1697 2096 2620 3394 5240 6788 8485 10480 13576 16970 27152 33940 67880 135760 222307 444614 889228 1111535 1778456 2223070 2865259 3556912 4446140 5730518 8892280 11461036 14326295 17784560 22922072 28652590 45844144 57305180 114610360 229220720 375348929 750697858 1501395716 1876744645 3002791432 3753489290 4862344523 6005582864 7506978580 9724689046 15013957160 19449378092 24311722615 30027914320 38898756184 48623445230 77797512368 97246890460 194493780920 388987561840 636967132513 1273934265026 2547868530052 3184835662565 5095737060104 6369671325130 10191474120208 12739342650260 25478685300520 50957370601040