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4676691072 = 273371013259
BaseRepresentation
bin1000101101100000…
…01010010010000000
3110001221000112002110
410112300022102000
534034213103242
62052021415320
7223615134564
oct42660122200
913057015073
104676691072
111a8a963249
12aa626a540
13596b8c531
143251816a4
151c589139c
hex116c0a480

4676691072 has 128 divisors (see below), whose sum is σ = 12888475200. Its totient is φ = 1501286400.

The previous prime is 4676691049. The next prime is 4676691083. The reversal of 4676691072 is 2701966764.

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

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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, 1433379 + ... + 1436637.

Almost surely, 24676691072 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 4676691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444237600).

4676691072 is an abundant number, since it is smaller than the sum of its proper divisors (8211784128).

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

4676691072 is a wasteful number, since it uses less digits than its factorization.

4676691072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 4676691072 is about 68386.3368809881. The cubic root of 4676691072 is about 1672.2950113969.

The spelling of 4676691072 in words is "four billion, six hundred seventy-six million, six hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 101 111 128 148 192 202 222 296 303 384 404 444 592 606 808 888 1184 1212 1616 1776 2368 2424 3232 3259 3552 3737 4736 4848 6464 6518 7104 7474 9696 9777 11211 12928 13036 14208 14948 19392 19554 22422 26072 29896 38784 39108 44844 52144 59792 78216 89688 104288 119584 120583 156432 179376 208576 239168 241166 312864 329159 358752 361749 417152 478336 482332 625728 658318 717504 723498 964664 987477 1251456 1316636 1435008 1446996 1929328 1974954 2633272 2893992 3858656 3949908 5266544 5787984 7717312 7899816 10533088 11575968 12178883 15434624 15799632 21066176 23151936 24357766 31599264 36536649 42132352 46303872 48715532 63198528 73073298 97431064 126397056 146146596 194862128 292293192 389724256 584586384 779448512 1169172768 1558897024 2338345536 4676691072