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4401336612552 = 23311197293288833
BaseRepresentation
bin100000000001100010000…
…0110101111011011001000
3120120202121201100000122120
41000003010012233123020
51034102414133100202
613205540210251240
7632662136633535
oct100030406573310
916522551300576
104401336612552
111447661858840
125b1012886b20
1325c076320779
14113050c33d8c
157974edc70bc
hex400c41af6c8

4401336612552 has 128 divisors (see below), whose sum is σ = 12105795461760. Its totient is φ = 1322434641920.

The previous prime is 4401336612521. The next prime is 4401336612599. The reversal of 4401336612552 is 2552166331044.

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, 15093928 + ... + 15382760.

It is an arithmetic number, because the mean of its divisors is an integer number (94576527045).

Almost surely, 24401336612552 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 4401336612552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052897730880).

4401336612552 is an abundant number, since it is smaller than the sum of its proper divisors (7704458849208).

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

4401336612552 is a wasteful number, since it uses less digits than its factorization.

4401336612552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289343 (or 289339 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 4401336612552 in words is "four trillion, four hundred one billion, three hundred thirty-six million, six hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 293 394 586 591 788 879 1172 1182 1576 1758 2167 2344 2364 3223 3516 4334 4728 6446 6501 7032 8668 9669 12892 13002 17336 19338 25784 26004 38676 52008 57721 77352 115442 173163 230884 288833 346326 461768 577666 634931 692652 866499 1155332 1269862 1385304 1732998 1904793 2310664 2539724 3177163 3465996 3809586 5079448 6354326 6931992 7619172 9531489 12708652 15238344 19062978 25417304 38125956 56900101 76251912 84628069 113800202 169256138 170700303 227600404 253884207 338512276 341400606 455200808 507768414 625901111 677024552 682801212 930908759 1015536828 1251802222 1365602424 1861817518 1877703333 2031073656 2503604444 2792726277 3723635036 3755406666 5007208888 5585452554 7447270072 7510813332 11170905108 15021626664 16671729593 22341810216 33343459186 50015188779 66686918372 100030377558 133373836744 183389025523 200060755116 366778051046 400121510232 550167076569 733556102092 1100334153138 1467112204184 2200668306276 4401336612552