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64073324544 = 211349920899
BaseRepresentation
bin111011101011000100…
…010101100000000000
320010101101021010120020
4323223010111200000
52022210232341134
645233533413440
74425540162315
oct735304254000
9203341233506
1064073324544
112519a7a3089
121050203a280
1360716126b8
14315b852d0c
151a0015db49
hexeeb115800

64073324544 has 96 divisors (see below), whose sum is σ = 171171000000. Its totient is φ = 21313953792.

The previous prime is 64073324543. The next prime is 64073324563. The reversal of 64073324544 is 44542337046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 64073324496 and 64073324505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64073324543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3055407 + ... + 3076305.

It is an arithmetic number, because the mean of its divisors is an integer number (1783031250).

Almost surely, 264073324544 is an apocalyptic number.

64073324544 is a gapful number since it is divisible by the number (64) 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 64073324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85585500000).

64073324544 is an abundant number, since it is smaller than the sum of its proper divisors (107097675456).

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

64073324544 is a wasteful number, since it uses less digits than its factorization.

64073324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21423 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 64073324544 in words is "sixty-four billion, seventy-three million, three hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 499 512 768 998 1024 1497 1536 1996 2048 2994 3072 3992 5988 6144 7984 11976 15968 20899 23952 31936 41798 47904 62697 63872 83596 95808 125394 127744 167192 191616 250788 255488 334384 383232 501576 510976 668768 766464 1003152 1021952 1337536 1532928 2006304 2675072 3065856 4012608 5350144 8025216 10428601 10700288 16050432 20857202 21400576 31285803 32100864 41714404 42801152 62571606 64201728 83428808 125143212 128403456 166857616 250286424 333715232 500572848 667430464 1001145696 1334860928 2002291392 2669721856 4004582784 5339443712 8009165568 10678887424 16018331136 21357774848 32036662272 64073324544