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999742464 = 21032715497
BaseRepresentation
bin111011100101101…
…101110000000000
32120200012011211200
4323211231300000
54021413224324
6243111541200
733526446030
oct7345556000
92520164750
10999742464
11473368346
1223a98a800
1312c179bb6
1496ac18c0
155cb7eec9
hex3b96dc00

999742464 has 132 divisors (see below), whose sum is σ = 3299338224. Its totient is φ = 285622272.

The previous prime is 999742451. The next prime is 999742487. The reversal of 999742464 is 464247999.

999742464 is a `hidden beast` number, since 99 + 97 + 4 + 2 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 999742464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56764 + ... + 72260.

Almost surely, 2999742464 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 999742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649669112).

999742464 is an abundant number, since it is smaller than the sum of its proper divisors (2299595760).

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

999742464 is a wasteful number, since it uses less digits than its factorization.

999742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15530 (or 15509 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 999742464 is about 31618.7043377808. The cubic root of 999742464 is about 999.9141472962.

The spelling of 999742464 in words is "nine hundred ninety-nine million, seven hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 15497 16128 21504 30994 32256 46491 61988 64512 92982 108479 123976 139473 185964 216958 247952 278946 325437 371928 433916 495904 557892 650874 743856 867832 976311 991808 1115784 1301748 1487712 1735664 1952622 1983616 2231568 2603496 2975424 3471328 3905244 3967232 4463136 5206992 5950848 6942656 7810488 7934464 8926272 10413984 11901696 13885312 15620976 15868928 17852544 20827968 23803392 27770624 31241952 35705088 41655936 47606784 55541248 62483904 71410176 83311872 111082496 124967808 142820352 166623744 249935616 333247488 499871232 999742464