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64966386000 = 2435341264091
BaseRepresentation
bin111100100000010011…
…000110000101010000
320012200121201100120110
4330200103012011100
52031022343323000
645502315041320
74456633112115
oct744023060520
9205617640513
1064966386000
11256089163aa
1210711140240
136184649b29
1432042c490c
151a53769850
hexf204c6150

64966386000 has 160 divisors (see below), whose sum is σ = 214561017216. Its totient is φ = 16901760000.

The previous prime is 64966385999. The next prime is 64966386049. The reversal of 64966386000 is 68366946.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 113955 + ... + 378045.

Almost surely, 264966386000 is an apocalyptic number.

64966386000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64966386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107280508608).

64966386000 is an abundant number, since it is smaller than the sum of its proper divisors (149594631216).

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

64966386000 is a wasteful number, since it uses less digits than its factorization.

64966386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264158 (or 264142 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 64966386000 in words is "sixty-four billion, nine hundred sixty-six million, three hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 264091 528182 792273 1056364 1320455 1584546 2112728 2640910 3169092 3961365 4225456 5281820 6338184 6602275 7922730 10563640 10827731 12676368 13204550 15845460 19806825 21127280 21655462 26409100 31690920 32483193 33011375 39613650 43310924 52818200 54138655 63381840 64966386 66022750 79227300 86621848 99034125 105636400 108277310 129932772 132045500 158454600 162415965 173243696 198068250 216554620 259865544 264091000 270693275 316909200 324831930 396136500 433109240 519731088 528182000 541386550 649663860 792273000 812079825 866218480 1082773100 1299327720 1353466375 1584546000 1624159650 2165546200 2598655440 2706932750 3248319300 4060399125 4331092400 5413865500 6496638600 8120798250 10827731000 12993277200 16241596500 21655462000 32483193000 64966386000