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200238489472 = 2773113995153
BaseRepresentation
bin1011101001111100100…
…1001101111110000000
3201010211222001012112211
42322133021031332000
511240042023130342
6231553245431504
720316045035410
oct2723711157600
9633758035484
10200238489472
1177a1445293a
123298356b594
1315b618615c8
149997a42640
15531e382c17
hex2e9f24df80

200238489472 has 128 divisors (see below), whose sum is σ = 471034368000. Its totient is φ = 82972753920.

The previous prime is 200238489469. The next prime is 200238489551. The reversal of 200238489472 is 274984832002.

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

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 38856048 + ... + 38861200.

It is an arithmetic number, because the mean of its divisors is an integer number (3679956000).

Almost surely, 2200238489472 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 200238489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235517184000).

200238489472 is an abundant number, since it is smaller than the sum of its proper divisors (270795878528).

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

200238489472 is a wasteful number, since it uses less digits than its factorization.

200238489472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 200238489472 in words is "two hundred billion, two hundred thirty-eight million, four hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1399 1736 1984 2798 3472 3968 5153 5596 6944 9793 10306 11192 13888 19586 20612 22384 27776 36071 39172 41224 43369 44768 72142 78344 82448 86738 89536 144284 156688 159743 164896 173476 179072 288568 303583 313376 319486 329792 346952 577136 607166 626752 638972 659584 693904 1118201 1154272 1214332 1253504 1277944 1387808 2236402 2308544 2428664 2555888 2775616 4472804 4617088 4857328 5111776 5551232 7209047 8945608 9714656 10223552 14418094 17891216 19429312 20447104 28836188 35782432 38858624 50463329 57672376 71564864 100926658 115344752 143129728 201853316 223480457 230689504 403706632 446960914 461379008 807413264 893921828 922758016 1564363199 1614826528 1787843656 3128726398 3229653056 3575687312 6257452796 6459306112 7151374624 12514905592 14302749248 25029811184 28605498496 50059622368 100119244736 200238489472