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4671995904 = 21632892
BaseRepresentation
bin1000101100111100…
…10000000000000000
3110001121011222112100
410112132100000000
534032012332104
62051333030400
7223530211212
oct42636200000
913047158470
104671995904
111a88246744
12aa4785400
13595c07424
143246bc5b2
151c5265139
hex116790000

4671995904 has 153 divisors (see below), whose sum is σ = 13650127153. Its totient is φ = 1539833856.

The previous prime is 4671995893. The next prime is 4671995927. The reversal of 4671995904 is 4095991764.

It is a happy number.

The square root of 4671995904 is 68352.

It is a perfect power (a square), and thus also a powerful number.

4671995904 is a `hidden beast` number, since 46 + 7 + 1 + 9 + 9 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 897122304 + 3774873600 = 29952^2 + 61440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52494292 + ... + 52494380.

Almost surely, 24671995904 is an apocalyptic number.

4671995904 is the 68352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4671995904

4671995904 is an abundant number, since it is smaller than the sum of its proper divisors (8978131249).

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

4671995904 is an frugal number, since it uses more digits than its factorization.

4671995904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The cubic root of 4671995904 is about 1671.7351900086.

The spelling of 4671995904 in words is "four billion, six hundred seventy-one million, nine hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2048 2136 2304 2848 3072 3204 4096 4272 4608 5696 6144 6408 7921 8192 8544 9216 11392 12288 12816 15842 16384 17088 18432 22784 23763 24576 25632 31684 32768 34176 36864 45568 47526 49152 51264 63368 65536 68352 71289 73728 91136 95052 98304 102528 126736 136704 142578 147456 182272 190104 196608 205056 253472 273408 285156 294912 364544 380208 410112 506944 546816 570312 589824 729088 760416 820224 1013888 1093632 1140624 1458176 1520832 1640448 2027776 2187264 2281248 2916352 3041664 3280896 4055552 4374528 4562496 5832704 6083328 6561792 8111104 8749056 9124992 12166656 13123584 16222208 17498112 18249984 24333312 26247168 32444416 36499968 48666624 52494336 64888832 72999936 97333248 129777664 145999872 194666496 259555328 291999744 389332992 519110656 583999488 778665984 1167998976 1557331968 2335997952 4671995904