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80010625121292 = 2231729122311058419
BaseRepresentation
bin10010001100010011101100…
…111000110111110000001100
3101111021221102000220002221210
4102030103230320313300030
540441343230012340132
6442100212421454420
722565401610140335
oct2214235470676014
9344257360802853
1080010625121292
1123548352010018
128b82718571410
133584c7b202738
1415a876bb5d28c
1593b3d7627bcc
hex48c4ece37c0c

80010625121292 has 96 divisors (see below), whose sum is σ = 204656851929600. Its totient is φ = 24215989138432.

The previous prime is 80010625121291. The next prime is 80010625121293. The reversal of 80010625121292 is 29212152601008.

80010625121292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (80010625121291) and next prime (80010625121293).

It is a self number, because there is not a number n which added to its sum of digits gives 80010625121292.

It is not an unprimeable number, because it can be changed into a prime (80010625121291) 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, 1706059 + ... + 12764477.

It is an arithmetic number, because the mean of its divisors is an integer number (2131842207600).

Almost surely, 280010625121292 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 80010625121292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102328425964800).

80010625121292 is an abundant number, since it is smaller than the sum of its proper divisors (124646226808308).

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

80010625121292 is a wasteful number, since it uses less digits than its factorization.

80010625121292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059695 (or 11059693 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 80010625121292 in words is "eighty trillion, ten billion, six hundred twenty-five million, one hundred twenty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1223 1479 1972 2446 2958 3669 4892 5916 7338 14676 20791 35467 41582 62373 70934 83164 106401 124746 141868 212802 249492 425604 602939 1205878 1808817 2411756 3617634 7235268 11058419 22116838 33175257 44233676 66350514 132701028 187993123 320694151 375986246 563979369 641388302 751972492 962082453 1127958738 1282776604 1924164906 2255917476 3848329812 5451800567 10903601134 13524446437 16355401701 21807202268 27048892874 32710803402 40573339311 54097785748 65421606804 81146678622 162293357244 229915589429 392208946673 459831178858 689746768287 784417893346 919662357716 1176626840019 1379493536574 1568835786692 2353253680038 2758987073148 4706507360076 6667552093441 13335104186882 20002656280323 26670208373764 40005312560646 80010625121292