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2067936156468 = 22327132512514893
BaseRepresentation
bin11110000101111010100…
…110011001101100110100
321022200201000201011202100
4132011322212121230310
5232340113124001333
64221555144342100
7302255246210130
oct36057246315464
97280630634670
102067936156468
1172800905a746
12294943774930
1312000c240120
147213534c3c0
1538bd2319213
hex1e17a999b34

2067936156468 has 144 divisors (see below), whose sum is σ = 6459213511296. Its totient is φ = 543216672000.

The previous prime is 2067936156449. The next prime is 2067936156493. The reversal of 2067936156468 is 8646516397602.

2067936156468 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 9 + 3 + 6 + 1 + 564 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435171 + ... + 2079722.

It is an arithmetic number, because the mean of its divisors is an integer number (44855649384).

It is a 1-persistent number, because it is pandigital, but 2⋅2067936156468 = 4135872312936 is not.

Almost surely, 22067936156468 is an apocalyptic number.

2067936156468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067936156468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229606755648).

2067936156468 is an abundant number, since it is smaller than the sum of its proper divisors (4391277354828).

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

2067936156468 is a wasteful number, since it uses less digits than its factorization.

2067936156468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515174 (or 2515169 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2067936156468 in words is "two trillion, sixty-seven billion, nine hundred thirty-six million, one hundred fifty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 251 252 273 364 468 502 546 753 819 1004 1092 1506 1638 1757 2259 3012 3263 3276 3514 4518 5271 6526 7028 9036 9789 10542 13052 15813 19578 21084 22841 29367 31626 39156 45682 58734 63252 68523 91364 117468 137046 205569 274092 411138 822276 2514893 5029786 7544679 10059572 15089358 17604251 22634037 30178716 32693609 35208502 45268074 52812753 65387218 70417004 90536148 98080827 105625506 130774436 158438259 196161654 211251012 228855263 294242481 316876518 392323308 457710526 588484962 631238143 633753036 686565789 915421052 1176969924 1262476286 1373131578 1893714429 2059697367 2524952572 2746263156 3787428858 4119394734 4418667001 5681143287 7574857716 8206095859 8238789468 8837334002 11362286574 13256001003 16412191718 17674668004 22724573148 24618287577 26512002006 32824383436 39768003009 49236575154 53024004012 57442671013 73854862731 79536006018 98473150308 114885342026 147709725462 159072012036 172328013039 229770684052 295419450924 344656026078 516984039117 689312052156 1033968078234 2067936156468