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4072991593972 = 2272313072183521
BaseRepresentation
bin111011010001010001001…
…101111001010111110100
3112102101002210020212020111
4323101101031321113310
51013212441322001342
612355035001112404
7600156346215100
oct73212115712764
915371083225214
104072991593972
111330389632554
12559458788704
13237109c73422
141011c33b0900
1570e3404e217
hex3b4513795f4

4072991593972 has 72 divisors (see below), whose sum is σ = 8586796339968. Its totient is φ = 1683755942400.

The previous prime is 4072991593963. The next prime is 4072991593973. The reversal of 4072991593972 is 2793951992704.

It is a junction number, because it is equal to n+sod(n) for n = 4072991593898 and 4072991593907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072991593973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773572 + ... + 2957092.

Almost surely, 24072991593972 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 4072991593972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293398169984).

4072991593972 is an abundant number, since it is smaller than the sum of its proper divisors (4513804745996).

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

4072991593972 is a wasteful number, since it uses less digits than its factorization.

4072991593972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183877 (or 2183868 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 67.

The spelling of 4072991593972 in words is "four trillion, seventy-two billion, nine hundred ninety-one million, five hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 307 434 614 868 1228 1519 2149 3038 4298 6076 8596 9517 15043 19034 30086 38068 60172 66619 133238 266476 466333 932666 1865332 2183521 4367042 8734084 15284647 30569294 61138588 67689151 106992529 135378302 213985058 270756604 427970116 473824057 670340947 947648114 1340681894 1895296228 2681363788 3316768399 4692386629 6633536798 9384773258 13267073596 18769546516 20780569357 32846706403 41561138714 65693412806 83122277428 131386825612 145463985499 290927970998 581855941996 1018247898493 2036495796986 4072991593972