Search a number
-
+
51345011355240 = 233513272347137383
BaseRepresentation
bin10111010110010101100010…
…01010011010111001101000
320201210112110010022110220010
423223022301022122321220
523212214040401331430
6301111323402331520
713546361150333451
oct1353126112327150
9221715403273803
1051345011355240
11153a632a391719
1259130104b9ba0
132285a76ba5c15
14c9717cb3a128
155e09054b7cb0
hex2eb2b129ae68

51345011355240 has 128 divisors (see below), whose sum is σ = 154217914306560. Its totient is φ = 13675756034304.

The previous prime is 51345011355181. The next prime is 51345011355241. The reversal of 51345011355240 is 4255311054315.

51345011355240 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51345011355241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 373667589 + ... + 373804971.

It is an arithmetic number, because the mean of its divisors is an integer number (1204827455520).

Almost surely, 251345011355240 is an apocalyptic number.

It is an amenable number.

51345011355240 is an abundant number, since it is smaller than the sum of its proper divisors (102872902951320).

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

51345011355240 is a wasteful number, since it uses less digits than its factorization.

51345011355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141071 (or 141067 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 51345011355240 in words is "fifty-one trillion, three hundred forty-five billion, eleven million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1327 2347 2654 3981 4694 5308 6635 7041 7962 9388 10616 11735 13270 14082 15924 18776 19905 23470 26540 28164 31848 35205 39810 46940 53080 56328 70410 79620 93880 137383 140820 159240 274766 281640 412149 549532 686915 824298 1099064 1373830 1648596 2060745 2747660 3114469 3297192 4121490 5495320 6228938 8242980 9343407 12457876 15572345 16485960 18686814 24915752 31144690 37373628 46717035 62289380 74747256 93434070 124578760 182307241 186868140 322437901 364614482 373736280 546921723 644875802 729228964 911536205 967313703 1093843446 1289751604 1458457928 1612189505 1823072410 1934627406 2187686892 2579503208 2734608615 3224379010 3646144820 3869254812 4375373784 4836568515 5469217230 6448758020 7292289640 7738509624 9673137030 10938434460 12897516040 19346274060 21876868920 38692548120 427875094627 855750189254 1283625283881 1711500378508 2139375473135 2567250567762 3423000757016 4278750946270 5134501135524 6418126419405 8557501892540 10269002271048 12836252838810 17115003785080 25672505677620 51345011355240