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66428525440 = 275178373561
BaseRepresentation
bin111101110111011100…
…101101101110000000
320100110111222201211001
4331313130231232000
52042021200303230
650303345501344
74541106102244
oct756734555600
9210414881731
1066428525440
1126199197402
1210a5a941854
1363585442b4
143302570424
151adbcd60ca
hexf7772db80

66428525440 has 128 divisors (see below), whose sum is σ = 170175388320. Its totient is φ = 24706744320.

The previous prime is 66428525437. The next prime is 66428525453. The reversal of 66428525440 is 4452582466.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866260 + ... + 939820.

Almost surely, 266428525440 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 66428525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85087694160).

66428525440 is an abundant number, since it is smaller than the sum of its proper divisors (103746862880).

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

66428525440 is a wasteful number, since it uses less digits than its factorization.

66428525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73680 (or 73668 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

It can be divided in two parts, 664285 and 25440, that added together give a triangular number (689725 = T1174).

The spelling of 66428525440 in words is "sixty-six billion, four hundred twenty-eight million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 83 85 128 136 160 166 170 272 320 332 340 415 544 640 664 680 830 1088 1328 1360 1411 1660 2176 2656 2720 2822 3320 5312 5440 5644 6640 7055 10624 10880 11288 13280 14110 22576 26560 28220 45152 53120 56440 73561 90304 112880 147122 180608 225760 294244 367805 451520 588488 735610 903040 1176976 1250537 1471220 2353952 2501074 2942440 4707904 5002148 5884880 6105563 6252685 9415808 10004296 11769760 12211126 12505370 20008592 23539520 24422252 25010740 30527815 40017184 47079040 48844504 50021480 61055630 80034368 97689008 100042960 103794571 122111260 160068736 195378016 200085920 207589142 244222520 390756032 400171840 415178284 488445040 518972855 781512064 800343680 830356568 976890080 1037945710 1660713136 1953780160 2075891420 3321426272 3907560320 4151782840 6642852544 8303565680 13285705088 16607131360 33214262720 66428525440