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80772143785472 = 291765811410103
BaseRepresentation
bin10010010111011000111010…
…111100000010011000000000
3101120222202000120121110001102
4102113120322330002120000
541041332322302113342
6443442113253353532
723004411010033046
oct2227307274023000
9346882016543042
1080772143785472
1123811301494637
1290862236388a8
13360ba1b9251c9
1415d356d4b8396
15951107417832
hex49763af02600

80772143785472 has 80 divisors (see below), whose sum is σ = 170905941578592. Its totient is φ = 38004617871360.

The previous prime is 80772143785451. The next prime is 80772143785511. The reversal of 80772143785472 is 27458734127708.

It is a junction number, because it is equal to n+sod(n) for n = 80772143785399 and 80772143785408.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56575973 + ... + 57986075.

Almost surely, 280772143785472 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 80772143785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85452970789296).

80772143785472 is an abundant number, since it is smaller than the sum of its proper divisors (90133797793120).

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

80772143785472 is a wasteful number, since it uses less digits than its factorization.

80772143785472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416719 (or 1416703 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 65.

The spelling of 80772143785472 in words is "eighty trillion, seven hundred seventy-two billion, one hundred forty-three million, seven hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 6581 8704 13162 26324 52648 105296 111877 210592 223754 421184 447508 842368 895016 1410103 1684736 1790032 2820206 3369472 3580064 5640412 7160128 11280824 14320256 22561648 23971751 28640512 45123296 47943502 57281024 90246592 95887004 180493184 191774008 360986368 383548016 721972736 767096032 1534192064 3068384128 6136768256 9279887843 12273536512 18559775686 37119551372 74239102744 148478205488 157758093331 296956410976 315516186662 593912821952 631032373324 1187825643904 1262064746648 2375651287808 2524129493296 4751302575616 5048258986592 10096517973184 20193035946368 40386071892736 80772143785472