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4097035026972 = 2233317577207401
BaseRepresentation
bin111011100111101010010…
…100010100001000011100
3112111200011102012210211000
4323213222110110020130
51014111211431330342
612414052451230300
7602000230062306
oct73475224241034
915450142183730
104097035026972
11133a5a7510638
125620488a8390
1323946c268a64
141024246b4976
157188ec6e44c
hex3b9ea51421c

4097035026972 has 96 divisors (see below), whose sum is σ = 10673968818240. Its totient is φ = 1359004262400.

The previous prime is 4097035026961. The next prime is 4097035026977. The reversal of 4097035026972 is 2796205307904.

4097035026972 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 0 + 3 + 502 + 69 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097035026977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19650472 + ... + 19857872.

It is an arithmetic number, because the mean of its divisors is an integer number (111187175190).

Almost surely, 24097035026972 is an apocalyptic number.

It is an amenable number.

4097035026972 is an abundant number, since it is smaller than the sum of its proper divisors (6576933791268).

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

4097035026972 is a wasteful number, since it uses less digits than its factorization.

4097035026972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208308 (or 208300 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 4097035026972 in words is "four trillion, ninety-seven billion, thirty-five million, twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 317 577 634 951 1154 1268 1731 1902 2308 2853 3462 3804 5193 5706 6924 8559 10386 11412 15579 17118 20772 31158 34236 62316 182909 207401 365818 414802 548727 622203 731636 829604 1097454 1244406 1646181 1866609 2194908 2488812 3292362 3733218 4938543 5599827 6584724 7466436 9877086 11199654 19754172 22399308 65746117 119670377 131492234 197238351 239340754 262984468 359011131 394476702 478681508 591715053 718022262 788953404 1077033393 1183430106 1436044524 1775145159 2154066786 2366860212 3231100179 3550290318 4308133572 6462200358 7100580636 12924400716 37935509509 75871019018 113806528527 151742038036 227613057054 341419585581 455226114108 682839171162 1024258756743 1365678342324 2048517513486 4097035026972