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4474189491984 = 243235924912
BaseRepresentation
bin100000100011011101001…
…1110011010111100010000
3120211201122221212202101100
41001012322132122330100
51041301120002220414
613303225252304400
7641151405121122
oct101067236327420
916751587782340
104474189491984
111475547365403
12603165012100
13265bb681b254
141167a26b7212
157b5b5bba609
hex411ba79af10

4474189491984 has 135 divisors (see below), whose sum is σ = 12582117845479. Its totient is φ = 1484213183040.

The previous prime is 4474189491973. The next prime is 4474189492127. The reversal of 4474189491984 is 4891949814744.

The square root of 4474189491984 is 2115228.

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

4474189491984 is a `hidden beast` number, since 4 + 4 + 7 + 41 + 8 + 9 + 491 + 98 + 4 = 666.

It is a super-2 number, since 2×44741894919842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9112401979 + ... + 9112402469.

Almost surely, 24474189491984 is an apocalyptic number.

4474189491984 is the 2115228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4474189491984

4474189491984 is an abundant number, since it is smaller than the sum of its proper divisors (8107928353495).

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

4474189491984 is an frugal number, since it uses more digits than its factorization.

4474189491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 855 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 4474189491984 in words is "four trillion, four hundred seventy-four billion, one hundred eighty-nine million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 359 491 718 982 1077 1436 1473 1964 2154 2872 2946 3231 3928 4308 4419 5744 5892 6462 7856 8616 8838 11784 12924 17232 17676 23568 25848 35352 51696 70704 128881 176269 241081 257762 352538 386643 482162 515524 528807 705076 723243 773286 964324 1031048 1057614 1159929 1410152 1446486 1546572 1586421 1928648 2062096 2115228 2169729 2319858 2820304 2892972 3093144 3172842 3857296 4230456 4339458 4639716 5785944 6186288 6345684 8460912 8678916 9279432 11571888 12691368 17357832 18558864 25382736 34715664 63280571 86548079 126561142 173096158 189841713 253122284 259644237 346192316 379683426 506244568 519288474 569525139 692384632 759366852 778932711 1012489136 1038576948 1139050278 1384769264 1518733704 1557865422 2077153896 2278100556 3037467408 3115730844 4154307792 4556201112 6231461688 9112402224 12462923376 31070760361 62141520722 93212281083 124283041444 186424562166 248566082888 279636843249 372849124332 497132165776 559273686498 745698248664 1118547372996 1491396497328 2237094745992 4474189491984