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2012227326672 = 2434723310693581
BaseRepresentation
bin11101010010000010000…
…110000101001011010000
321010100220120201101212220
4131102002012011023100
5230432020143423142
64140223211021040
7265243604031543
oct35220206051320
97110816641786
102012227326672
1170642095a342
12285b96a3a780
131179a1830404
146d56c76485a
15375216a42ec
hex1d4821852d0

2012227326672 has 160 divisors (see below), whose sum is σ = 5338117624320. Its totient is φ = 652860026880.

The previous prime is 2012227326671. The next prime is 2012227326677. The reversal of 2012227326672 is 2766237222102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012227326671) 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, 561915922 + ... + 561919502.

It is an arithmetic number, because the mean of its divisors is an integer number (33363235152).

Almost surely, 22012227326672 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 2012227326672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669058812160).

2012227326672 is an abundant number, since it is smaller than the sum of its proper divisors (3325890297648).

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

2012227326672 is a wasteful number, since it uses less digits than its factorization.

2012227326672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 2012227326672 in words is "two trillion, twelve billion, two hundred twenty-seven million, three hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 233 282 376 466 564 699 752 932 1069 1128 1398 1864 2138 2256 2796 3207 3581 3728 4276 5592 6414 7162 8552 10743 10951 11184 12828 14324 17104 21486 21902 25656 28648 32853 42972 43804 50243 51312 57296 65706 85944 87608 100486 131412 150729 168307 171888 175216 200972 249077 262824 301458 336614 401944 498154 504921 525648 602916 673228 747231 803888 834373 996308 1009842 1205832 1346456 1494462 1668746 1992616 2019684 2411664 2503119 2692912 2988924 3337492 3828089 3985232 4039368 5006238 5977848 6674984 7656178 8078736 10012476 11484267 11706619 11955696 13349968 15312356 20024952 22968534 23413238 30624712 35119857 39215531 40049904 45937068 46826476 61249424 70239714 78431062 91874136 93652952 117646593 140479428 156862124 179920183 183748272 187305904 235293186 280958856 313724248 359840366 470586372 539760549 561917712 627448496 719680732 891944737 941172744 1079521098 1439361464 1783889474 1882345488 2159042196 2675834211 2878722928 3567778948 4318084392 5351668422 7135557896 8636168784 10703336844 14271115792 21406673688 41921402639 42813347376 83842805278 125764207917 167685610556 251528415834 335371221112 503056831668 670742442224 1006113663336 2012227326672