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4401015061632 = 27373974124137
BaseRepresentation
bin100000000001011000011…
…1100000111110010000000
3120120201210022021112201020
41000002300330013302000
51034101234323433012
613205444242305440
7632651153535360
oct100026074076200
916521708245636
104401015061632
1114475072a4882
125b0b43058280
1325c024818657
141130202509a0
1579731a5ca8c
hex400b0f07c80

4401015061632 has 128 divisors (see below), whose sum is σ = 13393880499840. Its totient is φ = 1254265233408.

The previous prime is 4401015061567. The next prime is 4401015061733. The reversal of 4401015061632 is 2361605101044.

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 = 4401015061593 and 4401015061602.

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, 994933 + ... + 3129204.

It is an arithmetic number, because the mean of its divisors is an integer number (104639691405).

Almost surely, 24401015061632 is an apocalyptic number.

4401015061632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4401015061632 is an abundant number, since it is smaller than the sum of its proper divisors (8992865438208).

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

4401015061632 is a wasteful number, since it uses less digits than its factorization.

4401015061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124558 (or 4124546 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 4401015061632 in words is "four trillion, four hundred one billion, fifteen million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 397 448 672 794 896 1191 1344 1588 2382 2688 2779 3176 4764 5558 6352 8337 9528 11116 12704 16674 19056 22232 25408 33348 38112 44464 50816 66696 76224 88928 133392 152448 177856 266784 355712 533568 1067136 4124137 8248274 12372411 16496548 24744822 28868959 32993096 49489644 57737918 65986192 86606877 98979288 115475836 131972384 173213754 197958576 230951672 263944768 346427508 395917152 461903344 527889536 692855016 791834304 923806688 1385710032 1583668608 1637282389 1847613376 2771420064 3274564778 3695226752 4911847167 5542840128 6549129556 9823694334 11085680256 11460976723 13098259112 19647388668 22921953446 26196518224 34382930169 39294777336 45843906892 52393036448 68765860338 78589554672 91687813784 104786072896 137531720676 157179109344 183375627568 209572145792 275063441352 314358218688 366751255136 550126882704 628716437376 733502510272 1100253765408 1467005020544 2200507530816 4401015061632