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64069136000 = 275310633767
BaseRepresentation
bin111011101010110100…
…010110111010000000
320010101002101022221222
4323222310112322000
52022203144323000
645233303534212
74425456445652
oct735264267200
9203332338858
1064069136000
11251983a2181
121050075a368
1360707a707c
14315b0826d2
1519eead2a85
hexeead16e80

64069136000 has 128 divisors (see below), whose sum is σ = 159484066560. Its totient is φ = 25596748800.

The previous prime is 64069135997. The next prime is 64069136003. The reversal of 64069136000 is 63196046.

64069136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64069135997) and next prime (64069136003).

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

It is not an unprimeable number, because it can be changed into a prime (64069136003) 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, 17006117 + ... + 17009883.

It is an arithmetic number, because the mean of its divisors is an integer number (1245969270).

Almost surely, 264069136000 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 64069136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79742033280).

64069136000 is an abundant number, since it is smaller than the sum of its proper divisors (95414930560).

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

64069136000 is a wasteful number, since it uses less digits than its factorization.

64069136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 64069136000 in words is "sixty-four billion, sixty-nine million, one hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1063 1600 2000 2126 3200 3767 4000 4252 5315 7534 8000 8504 10630 15068 16000 17008 18835 21260 26575 30136 34016 37670 42520 53150 60272 68032 75340 85040 94175 106300 120544 132875 136064 150680 170080 188350 212600 241088 265750 301360 340160 376700 425200 470875 482176 531500 602720 680320 753400 850400 941750 1063000 1205440 1506800 1700800 1883500 2126000 2410880 3013600 3401600 3767000 4004321 4252000 6027200 7534000 8008642 8504000 12054400 15068000 16017284 17008000 20021605 30136000 32034568 40043210 60272000 64069136 80086420 100108025 128138272 160172840 200216050 256276544 320345680 400432100 500540125 512553088 640691360 800864200 1001080250 1281382720 1601728400 2002160500 2562765440 3203456800 4004321000 6406913600 8008642000 12813827200 16017284000 32034568000 64069136000