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2132570252176 = 2471382711091597
BaseRepresentation
bin11111000010000111000…
…101111010001110010000
321112212112111011102201221
4133002013011322032100
5234420000441032201
64311404513334424
7310034036025010
oct37020705721620
97485474142657
102132570252176
11752466347471
122a5381567414
1312613ca94880
1475307455c40
153a7167e74a1
hex1f08717a390

2132570252176 has 160 divisors (see below), whose sum is σ = 5099291124480. Its totient is φ = 841347053568.

The previous prime is 2132570252173. The next prime is 2132570252179. The reversal of 2132570252176 is 6712520752312.

It is an interprime number because it is at equal distance from previous prime (2132570252173) and next prime (2132570252179).

It is not an unprimeable number, because it can be changed into a prime (2132570252173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335359410 + ... + 1335361006.

It is an arithmetic number, because the mean of its divisors is an integer number (31870569528).

Almost surely, 22132570252176 is an apocalyptic number.

2132570252176 is a gapful number since it is divisible by the number (26) 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 2132570252176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549645562240).

2132570252176 is an abundant number, since it is smaller than the sum of its proper divisors (2966720872304).

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

2132570252176 is a wasteful number, since it uses less digits than its factorization.

2132570252176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 2132570252176 in words is "two trillion, one hundred thirty-two billion, five hundred seventy million, two hundred fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 827 1109 1456 1597 1654 2218 3194 3308 4436 5789 6388 6616 7763 8872 10751 11179 11578 12776 13232 14417 15526 17744 20761 21502 22358 23156 25552 28834 31052 41522 43004 44716 46312 57668 62104 75257 83044 86008 89432 92624 100919 115336 124208 145327 150514 166088 172016 178864 201838 230672 290654 301028 332176 403676 581308 602056 807352 917143 1162616 1204112 1320719 1614704 1771073 1834286 2325232 2641438 3542146 3668572 5282876 6420001 7084292 7337144 9245033 10565752 11922859 12397511 12840002 14168584 14674288 17169347 18490066 21131504 23023949 23845718 24795022 25680004 28337168 34338694 36980132 46047898 47691436 49590044 51360008 68677388 73960264 83460013 92095796 95382872 99180088 102720016 120185429 137354776 147920528 161167643 166920026 184191592 190765744 198360176 240370858 274709552 322335286 333840052 368383184 480741716 644670572 667680104 961483432 1289341144 1335360208 1464677371 1922966864 2578682288 2929354742 5858709484 10252741597 11717418968 19040805823 20505483194 23434837936 38081611646 41010966388 76163223292 82021932776 133285640761 152326446584 164043865552 266571281522 304652893168 533142563044 1066285126088 2132570252176