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200916047696 = 24731316011759
BaseRepresentation
bin1011101100011110000…
…1111001011101010000
3201012121011222201200212
42323013201321131100
511242434002011241
6232144412103252
720341613141000
oct2730741713520
9635534881625
10200916047696
1178231964411
1232b32464b28
1315c3c044030
149a1da18000
15535dac0beb
hex2ec7879750

200916047696 has 160 divisors (see below), whose sum is σ = 489468672000. Its totient is φ = 79388467200.

The previous prime is 200916047681. The next prime is 200916047707. The reversal of 200916047696 is 696740619002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114220865 + ... + 114222623.

It is an arithmetic number, because the mean of its divisors is an integer number (3059179200).

Almost surely, 2200916047696 is an apocalyptic number.

200916047696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200916047696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244734336000).

200916047696 is an abundant number, since it is smaller than the sum of its proper divisors (288552624304).

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

200916047696 is a wasteful number, since it uses less digits than its factorization.

200916047696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 200916047696 in words is "two hundred billion, nine hundred sixteen million, forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 728 784 1274 1372 1456 1601 1759 2548 2744 3202 3518 4459 5096 5488 6404 7036 8918 10192 11207 12313 12808 14072 17836 20813 22414 22867 24626 25616 28144 35672 41626 44828 45734 49252 71344 78449 83252 86191 89656 91468 98504 145691 156898 160069 166504 172382 179312 182936 197008 291382 313796 320138 333008 344764 365872 549143 582764 603337 627592 640276 689528 1019837 1098286 1120483 1165528 1206674 1255184 1280552 1379056 2039674 2196572 2240966 2331056 2413348 2561104 2816159 4079348 4393144 4481932 4826696 5632318 7138859 7843381 8158696 8786288 8963864 9653392 11264636 14277718 15686762 16317392 17927728 19713113 22529272 28555436 31373524 36610067 39426226 45058544 57110872 62747048 73220134 78852452 114221744 125494096 137991791 146440268 157704904 256270469 275983582 292880536 315409808 512540938 551967164 585761072 965942537 1025081876 1103934328 1793893283 1931885074 2050163752 2207868656 3587786566 3863770148 4100327504 7175573132 7727540296 12557252981 14351146264 15455080592 25114505962 28702292528 50229011924 100458023848 200916047696