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64345355520 = 2835131127913
BaseRepresentation
bin111011111011010010…
…000011010100000000
320011002100010201220120
4323323102003110000
52023234402334040
645320532140240
74435352332455
oct737322032400
9204070121816
1064345355520
112531a303a76
1210579167680
1360b5a99a84
143185a2582c
151a18e957d0
hexefb483500

64345355520 has 144 divisors (see below), whose sum is σ = 207073323072. Its totient is φ = 17027645440.

The previous prime is 64345355497. The next prime is 64345355551. The reversal of 64345355520 is 2555354346.

It is a happy number.

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, 439084 + ... + 566996.

It is an arithmetic number, because the mean of its divisors is an integer number (1438009188).

Almost surely, 264345355520 is an apocalyptic number.

64345355520 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 64345355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103536661536).

64345355520 is an abundant number, since it is smaller than the sum of its proper divisors (142727967552).

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

64345355520 is a wasteful number, since it uses less digits than its factorization.

64345355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128068 (or 128054 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 64345355520 in words is "sixty-four billion, three hundred forty-five million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 524 640 655 768 786 960 1048 1280 1310 1572 1920 1965 2096 2620 3144 3840 3930 4192 5240 6288 7860 8384 10480 12576 15720 16768 20960 25152 31440 33536 41920 50304 62880 83840 100608 125760 127913 167680 251520 255826 383739 503040 511652 639565 767478 1023304 1279130 1534956 1918695 2046608 2558260 3069912 3837390 4093216 5116520 6139824 7674780 8186432 10233040 12279648 15349560 16372864 16756603 20466080 24559296 30699120 32745728 33513206 40932160 49118592 50269809 61398240 67026412 81864320 83783015 98237184 100539618 122796480 134052824 163728640 167566030 201079236 245592960 251349045 268105648 335132060 402158472 491185920 502698090 536211296 670264120 804316944 1005396180 1072422592 1340528240 1608633888 2010792360 2144845184 2681056480 3217267776 4021584720 4289690368 5362112960 6434535552 8043169440 10724225920 12869071104 16086338880 21448451840 32172677760 64345355520