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472187284352 = 2773770920089
BaseRepresentation
bin1101101111100001000…
…11100010101110000000
31200010210112200100220222
412313300203202232000
530214014421044402
61000530404122212
746054145456660
oct6676043425600
91603715610828
10472187284352
11172287459593
127761a696368
13356b0c84694
1418bd54a61a0
15c4390637a2
hex6df08e2b80

472187284352 has 128 divisors (see below), whose sum is σ = 1105737528000. Its totient is φ = 196609130496.

The previous prime is 472187284339. The next prime is 472187284357. The reversal of 472187284352 is 253482781274.

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

It is a junction number, because it is equal to n+sod(n) for n = 472187284294 and 472187284303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472187284357) 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, 23494724 + ... + 23514812.

Almost surely, 2472187284352 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 472187284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552868764000).

472187284352 is an abundant number, since it is smaller than the sum of its proper divisors (633550243648).

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

472187284352 is a wasteful number, since it uses less digits than its factorization.

472187284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20856 (or 20844 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 53.

The spelling of 472187284352 in words is "four hundred seventy-two billion, one hundred eighty-seven million, two hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 709 896 1036 1184 1418 2072 2368 2836 4144 4736 4963 5672 8288 9926 11344 16576 19852 20089 22688 26233 33152 39704 40178 45376 52466 79408 80356 90752 104932 140623 158816 160712 183631 209864 281246 317632 321424 367262 419728 562492 635264 642848 734524 743293 839456 1124984 1285696 1469048 1486586 1678912 2249968 2571392 2938096 2973172 3357824 4499936 5203051 5876192 5946344 8999872 10406102 11752384 11892688 14243101 17999744 20812204 23504768 23785376 28486202 41624408 47570752 56972404 83248816 95141504 99701707 113944808 166497632 199403414 227889616 332995264 398806828 455779232 526994737 665990528 797613656 911558464 1053989474 1595227312 1823116928 2107978948 3190454624 3688963159 4215957896 6380909248 7377926318 8431915792 12761818496 14755852636 16863831584 29511705272 33727663168 59023410544 67455326336 118046821088 236093642176 472187284352