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200374952448 = 2931115597607
BaseRepresentation
bin1011101010011101000…
…1110010001000000000
3201011012110211020120010
42322213101302020000
511240331441434243
6232015002344520
720322322664556
oct2724721621000
9634173736503
10200374952448
1177a84489560
1232a011bb140
1315b83c00a28
1499abc05bd6
15532b33b433
hex2ea7472200

200374952448 has 160 divisors (see below), whose sum is σ = 582789841920. Its totient is φ = 60672757760.

The previous prime is 200374952447. The next prime is 200374952497. The reversal of 200374952448 is 844259473002.

It is a super-2 number, since 2×2003749524482 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200374952397 and 200374952406.

It is not an unprimeable number, because it can be changed into a prime (200374952447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26337061 + ... + 26344667.

It is an arithmetic number, because the mean of its divisors is an integer number (3642436512).

Almost surely, 2200374952448 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 200374952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291394920960).

200374952448 is an abundant number, since it is smaller than the sum of its proper divisors (382414889472).

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

200374952448 is a wasteful number, since it uses less digits than its factorization.

200374952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 200374952448 in words is "two hundred billion, three hundred seventy-four million, nine hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1559 2112 2816 3118 4224 4677 5632 6236 7607 8448 9354 12472 15214 16896 17149 18708 22821 24944 30428 34298 37416 45642 49888 51447 60856 68596 74832 83677 91284 99776 102894 121712 137192 149664 167354 182568 199552 205788 243424 251031 274384 299328 334708 365136 399104 411576 486848 502062 548768 598656 669416 730272 798208 823152 973696 1004124 1097536 1197312 1338832 1460544 1646304 1947392 2008248 2195072 2394624 2677664 2921088 3292608 3894784 4016496 4390144 5355328 5842176 6585216 8032992 8780288 10710656 11684352 11859313 13170432 16065984 21421312 23718626 26340864 32131968 35577939 42842624 47437252 64263936 71155878 94874504 128527872 130452443 142311756 189749008 260904886 284623512 379498016 391357329 521809772 569247024 758996032 782714658 1043619544 1138494048 1517992064 1565429316 2087239088 2276988096 3035984128 3130858632 4174478176 4553976192 6071968256 6261717264 8348956352 9107952384 12523434528 16697912704 18215904768 25046869056 33395825408 50093738112 66791650816 100187476224 200374952448